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Prof. (Dr.) M.K.Ghadoliya
Director
School of Distance Education and Learning, JNU Jaipur
(Raj)
Introduction
 Processes involved before formulating the
hypotheses.
 Definition
 Nature of Hypothesis
 Types
 How to formulate a Hypotheses in
 Quantitative Research
 Qualitative Research
 Testing and Errors in Hypotheses
 Summary
The research structure helps us create research that is :
•Quantifiable
•Verifiable
•Replicable
• Defensible
•Corollaries among the model, common sense & paper format
•MODEL COMMON SENSE PAPER
FORMAT
•Research Question Why Introduction
•Develop a Theory your Answer Methodology
•Identify variables How Analysis
•Identify hypothesis Expectations result
•Test Collect Analyze data conclusion
•Evaluate Result What it Means
•Critical Review What it doesn't Mean
Most research projects share the same general structure,
which could be represented in the shape of an
“Hourglass”.
The ‘Hour Glass’ notion of research allows someone to
breakdown what can see an overwhelming amount of
information into manageable chunks, and allows you to
see the whole picture in an understandable way.
BEGIN WITH BROAD QUESTIONS
NARROW DOWN, FOCUS IN
OPERATIONALIZE
OBSERVE
ANALYZE DATA
REACH CONCLUSIONS
GENERALIZE
GENERALIZE BACK TO QUESTIONS
Where does the problem origination or discovery
begin
 Preview experience Triggered interest potential
problem field
Criteria of problem and problem statement
Goal and planning
Search Explore and Gather the Evidences
Generate creative and logical alternative
solutions.
Definition of Hypothesis:
 “Hypotheses are single tentative guesses, good hunches –
assumed for use in devising theory or planning experiments
intended to be given a direct experimental test when possible”.
(Eric Rogers, 1966)
 “A hypothesis is a conjectural statement of the relation
between two or more variables”. (Kerlinger, 1956)
 “Hypothesis is a formal statement that presents the expected
relationship between an independent and dependent variable.”
(Creswell, 1994)
“A research question is essentially a hypothesis asked in the
form of a question.”
Definition of Hypothesis:
“It is a tentative prediction about the nature of the relationship
between two or more variables.”
 “A hypothesis can be defined as a tentative explanation of the
research problem, a possible outcome of the research, or an
educated guess about the research outcome.” (Sarantakos, 1993:
1991)
“Hypotheses are always in declarative sentence form, and they
relate, either generally or specifically , variables to variables.”
 “An hypothesis is a statement or explanation that is suggested
by knowledge or observation but has not, yet, been proved or
disproved.” (Macleod Clark J and Hockey L 1981)
Nature of Hypothesis:
The hypothesis is a clear statement of what is intended to be
investigated. It should be specified before research is conducted
and openly stated in reporting the results.
This allows to:
Identify the research objectives
Identify the key abstract concepts involved in the research
Identify its relationship to both the problem statement and
the literature review
A problem cannot be scientifically solved unless it is reduced to
hypothesis form
It is a powerful tool of advancement of knowledge, consistent
with existing knowledge and conducive to further enquiry
Nature of Hypothesis:
 It can be tested – verifiable or falsifiable
Hypotheses are not moral or ethical questions
It is neither too specific nor to general
It is a prediction of consequences
It is considered valuable even if proven false
An Example…
Imagine the following situation:
You are a nutritionist working in a zoo, and one of your responsibilities is to develop a
menu
plan for the group of monkeys. In order to get all the vitamins they need, the monkeys have
to be given fresh leaves as part of their diet. Choices you consider include leaves of the
following species: (a) A (b) B (c) C (d) D and (e) E. You know that in the wild the monkeys
eat mainly B leaves, but you suspect that this could be because they are safe whilst feeding
in B trees, whereas eating any of the other species would make them vulnerable to
predation. You design an experiment to find out which type of leaf the monkeys actually
like
best: You offer the monkeys all five types of leaves in equal quantities, and observe what
they eat.
There are many different experimental hypotheses you could formulate for the monkey
study. For example:
When offered all five types of leaves, the monkeys will preferentially feed on B leaves.
This statement satisfies both criteria for experimental hypotheses. It is a
•Prediction: It predicts the anticipated outcome of the experiment
•Testable: Once you have collected and evaluated your data (i.e. observations of what the
monkeys eat when all five types of leaves are offered), you know whether or not they ate
more B leaves than the other types.
Incorrect hypotheses would include:
When offered all five types of leaves, the monkeys will preferentially eat the
type they like best.
This statement certainly sounds predictive, but it does not satisfy the second
criterion: there is no way you can test whether it is true once you have the
results of your study. Your data will show you whether the monkeys preferred
one type of leaf, but not why they preferred it (i.e., they like it best). I would, in
fact, regard the above statement as an assumption that is inherent in the design
of this experiment, rather than as a hypothesis.
When offered all five types of leaves, the monkeys will preferentially eat B
leaves because they can eat these safely in their natural habitat. This statement
is problematic because its second part ('because they can eat these safely in
their natural habitat') also fails to satisfy the criterion of testability. You can tell
whether the monkeys preferentially eat those leaves, but the results of this
experiment cannot tell you why. In their natural habitat, howler monkeys that
feed in B trees are less vulnerable to predation than monkeys that feed on A, C,
D, or E.
This is a perfectly good experimental hypothesis, but
not for the experiment described in the question. You
could use this hypothesis if you did a study in the wild
looking at how many monkeys get killed by predators
whilst feeding on the leaves of A, B etc. However, for the
experimental feeding study in the zoo it is neither a
prediction nor testable.
When offered all five types of leaves, which type will
the monkeys eat preferentially? This is a question, and
questions fail to satisfy criterion #1: They are not
predictive statements. Hence, a question is not a
hypothesis.
Types of Hypotheses
NULL HYPOTHESES
Designated by: 𝐻 𝑜
ALTERNATIVE HYPOTHESES
Designated by: H1
The null hypothesis represents a theory that has been
put forward, either because it is believed to be true or
because it is to be used as a basis for argument, but
has not been proved.
 Has serious outcome if incorrect decision is made!
The alternative hypothesis is a statement of what a
hypothesis test is set up to establish.
 Opposite of Null Hypothesis.
 Only reached if H0 is rejected.
Frequently “alternative” is actual desired conclusion
of the researcher!
In a clinical trial of a new drug, the null hypothesis might be
that the new drug is no better, on average, than the current
drug.
We would write H0: there is no difference between
the two drugs on average.
The alternative hypothesis might be that: the new drug has a
different effect, on average, compared to that of the current
drug.
We would write H1: the two drugs have different
effects, on average. the new drug is better, on
average, than the current drug.
We would write H1: the new drug is better than the
current drug, on average.
We give special consideration to the null hypothesis…
 This is due to the fact that the null hypothesis relates to the
statement being tested, whereas the alternative hypothesis
relates to the statement to be accepted if / when the null is
rejected.
 The final conclusion, once the test has been carried out, is
always given in terms of the null hypothesis. We either 'reject
H0 in favour of H1' or 'do not reject H0'; we never conclude
'reject H1', or even 'accept H1 '.
 If we conclude 'do not reject H0', this does not necessarily
mean that the null hypothesis is true, it only suggests that there
is not sufficient evidence against H0 in favour of H1; rejecting
the null hypothesis then, suggests that the alternative
hypothesis may be true.
Formulating a hypothesis
 Formulating Hypothesis is important to narrow
a question down to one that can reasonably be
studied in a research project.
 The formulation of the hypothesis basically
varies with the kind of research project
conducted:
 QUALITATIVE
 QUANTITATIVE
can be divided into;
Deductive
Inductive
Theory
Hypothesis
Observation
Confirmation
Pattern
Tentative Hypothesis
Theory
observation
Qualitative Approach
 The use of Research Questions as opposed to
objectives or hypothesis, is more frequent.
 Characteristics
 Use of words- what or how.
 Specify whether the study: discovers, seeks to
understand, explores or describes the experiences.
 Use of non-directional wording in the question.
 These questions describe, rather than relate variables
or compare groups during study.
 The questions are usually open-ended, without
reference to the literature or theory.
 Use of a single focus.
The rules of Qualitative research
 Kleining offers four rules for a scientific and
qualitative process of approaching
understanding to reality.
 Rule 1 (refers to subject / researcher)
 "Prior understandings of the phenomenon to
be researched should be seen as provisional
and should be transcended with [the discovery
of] new information with which they are not
consistent."
The rules of Qualitative research
 Rule 2 (refers to the object of study)
 "The object is provisional; it is only fully known after the
successful completion of the process of discovery."
 Rule 3 (refers to action in relation to the subject of
research, hence to data collection)
 "The object should be approached from "all" sides; rule of
the maximum variation of perspectives.“
 Rule 4 (refers to the evaluation of information gathered,
hence to data analysis)
 "Analysis of the data for common elements."
Quantitative Approach
 In survey projects the use of research questions and
objectives is more Frequent.
 In experiments the use of hypotheses are more
frequent.
comparison between variables
 Represent,
relationship between variables
Characteristics :
 The testable proposition to be deduced from theory.
 Independent and dependent variables to be separated
and measured separately.
Characteristics contd...
Independent and dependent variables to
be separated and measured separately.
To be either writing-questions, or
objectives or hypotheses, but not a
combination.
Consider the alternative forms for writing
and make a choice based on the audience
for the research
Generation of Research
Hypothesis
Problem statements become research
hypotheses when constructs are operationalized
Initial Ideas
(often vague and general)
Initial observations Search of existing research
literature
Statement of the problem
Operational definitions of
constructs
Research hypothesis
(a specific deductive prediction)
Quantitative Approach
To be either writing-questions, or
objectives or hypotheses, but not a
combination.
Consider the alternative forms for writing
and make a choice based on the audience
for the research
Example:
Consider the example of a simple association
between two variables, Y and X.
1.Y and X are associated (or, there is an
association between Y and X).
2. Y is related to X (or, Y is dependent
on X).
3. As X increases, Y decreases (or,
increases in values of X appear to effect
reduction in values of Y).
Contd…
 The first hypothesis provides a simple statement of association
between Y and X. Nothing is indicated about the association that
would allow the researcher to determine which variable, Y or X,
would tend to cause the other variable to change in value.
 The second hypothesis is also a simple statement of association
between Y and X, but this time it may be inferred that values of Y
are in some way contingent upon the condition of the X variable.
 The third hypothesis is the most specific of the three. Not only
does it say that Y and X are related and that Y is dependent on X for
its value, but it also reveals something more about the nature of the
association between the two variables.
Testing and Chhalenge-
 The degree of challenge to the hypothesis will
depend on the type of problem and its importance. It
can range from just seeking “a good enough” solution
to a much more rigorous challenge.
 The term Challenge may include
 Verification Justification Refutability
Validity Rectification Repeatability
Falsification
 There are two possibilities
 1. Nothing Happened the Null Hypothesis - Ho
 2. Something Happened the Alternative Hypothesis - H1
Hypothesis testing is a four step procedure:
1.Stating the hypothesis (Null or
Alternative)
2. Setting the criteria for a decision
3. Collecting data
4. Evaluate the Null hypothesis
Hypothesis testing is a four step procedure:
 Hypothesis testing involves making a decision
concerning some hypothesis or statement about a
population parameter such as the population mean,
using the sample mean, to decide whether this
statement about the value of is valid or not.
 The steps of the hypothesis testing :
1- The first step is to formulate a null hypothesis
written . The statement for is usually expressed
as an equation or inequality as follows:
H0: µ = given Value, H0: µ ≤ given Value,
H0: µ ≥given Value
Hypothesis testing is a four step procedure:
The alternative hypothesis suggests the direction of
the actual value of the parameter relative to the
stated value. The statement of in the form of an
inequality that indicates that the investigator has no
opinion as to whether the actual value of is more
than or less than the stated value but the feeling is
that the stated value is incorrect. In this case the test
is two-tail test. Statements in the form of strictly
greater than or strictly less than relationship indicate
that the investigator has an opinion as to the
direction of the value of the parameter relative to the
stated value. In this case it is called one-tail test.
Hypothesis testing is a four step procedure:
 State the level of significance of the test and the
corresponding Z values (for large sample tests), or the
corresponding T values ( for small sample tests). The
hypothesis test is frequently conducted at the 5%, 1% and 10%
levels of significance. Some can use the Z values. For a test
conducted at any other level of significance, we simply use the
normal distribution table to determine a corresponding Z
value.
 3- Calculate the test statistic for the sample that has taken.
 4- Determine the boundary (or boundaries) for the area of
rejection regions using either or values. A critical value is
the boundary or limit value that requires as to reject the
statement of the null hypothesis.
Hypothesis testing is a four step procedure:
Also in this step it is stated an alternative hypothesis,
written , a statement that indicates the opinion of
the conductor of the test as to the actual value of .
is expressed as follows:
Ha: µ ≠given Value, Ha: µ >given Value,
Ha: µ <given Value
We conduct a hypothesis test on a given value to find
out if actual observation would lead us to reject the
stated value.
Two types of mistakes are possible while testing a
Hypothesis :
 Type I
 Type II
 Example:
Your actual health
doctor Sick well
Says Sick You are sick Doctor confirms it Get scared nothing
RIGHT wrong Type I error
Well Doctor missed your real sickness you are really not sick
Type II error RIGHT
 Type I Error:
 A type I error occurs when the null hypothesis
(H0) is wrongly rejected.
 For example: A type I error would occur if we
concluded that the two drugs produced
different effects when in fact there was no
difference between them.
 Type II Error:
 A type II error occurs when the null hypothesis
H0, is not rejected when it is in fact false.
 For example: A type II error would occur if it
were concluded that the two drugs produced
the same effect, that is, there is no difference
between the two drugs on average, when in
fact they produced different ones..
Reject H0 Don’t Reject Ho
H0 Type I Error Right Decision
H1 Right Decision Type II Error
To Generalise:
A type I error is often considered to be more serious, and therefore more important to
avoid, than a type II error.
T
R
U
T
H
Research questions and hypotheses become
“signposts” for explaining the purpose of the
study & guiding the research…”, Creswell
A hypothesis is an explanation, tentative
and unsure of itself, for specific phenomena
about which you have questions.
A well-crafted hypothesis very often suggests
the best way to perform the research and
gives you clues as to your research design
There are different types of hypotheses.
Deductive
Inductive
Research Hypothesis can either be non-directional or
directional. There exists a hypothesis that is opposite
of the positively stated one, i.e. the null hypothesis
Thus to conclude it would be fitting to say “hypothesis
is perhaps the most powerful tool, man has invented
to achieve dependable knowledge” – Fred Kerlinger…

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Developing hypothesis and research questions

  • 1. Prof. (Dr.) M.K.Ghadoliya Director School of Distance Education and Learning, JNU Jaipur (Raj)
  • 2. Introduction  Processes involved before formulating the hypotheses.  Definition  Nature of Hypothesis  Types  How to formulate a Hypotheses in  Quantitative Research  Qualitative Research  Testing and Errors in Hypotheses  Summary
  • 3. The research structure helps us create research that is : •Quantifiable •Verifiable •Replicable • Defensible •Corollaries among the model, common sense & paper format •MODEL COMMON SENSE PAPER FORMAT •Research Question Why Introduction •Develop a Theory your Answer Methodology •Identify variables How Analysis •Identify hypothesis Expectations result •Test Collect Analyze data conclusion •Evaluate Result What it Means •Critical Review What it doesn't Mean
  • 4. Most research projects share the same general structure, which could be represented in the shape of an “Hourglass”. The ‘Hour Glass’ notion of research allows someone to breakdown what can see an overwhelming amount of information into manageable chunks, and allows you to see the whole picture in an understandable way. BEGIN WITH BROAD QUESTIONS NARROW DOWN, FOCUS IN OPERATIONALIZE OBSERVE ANALYZE DATA REACH CONCLUSIONS GENERALIZE GENERALIZE BACK TO QUESTIONS
  • 5. Where does the problem origination or discovery begin  Preview experience Triggered interest potential problem field Criteria of problem and problem statement Goal and planning Search Explore and Gather the Evidences Generate creative and logical alternative solutions.
  • 6. Definition of Hypothesis:  “Hypotheses are single tentative guesses, good hunches – assumed for use in devising theory or planning experiments intended to be given a direct experimental test when possible”. (Eric Rogers, 1966)  “A hypothesis is a conjectural statement of the relation between two or more variables”. (Kerlinger, 1956)  “Hypothesis is a formal statement that presents the expected relationship between an independent and dependent variable.” (Creswell, 1994) “A research question is essentially a hypothesis asked in the form of a question.”
  • 7. Definition of Hypothesis: “It is a tentative prediction about the nature of the relationship between two or more variables.”  “A hypothesis can be defined as a tentative explanation of the research problem, a possible outcome of the research, or an educated guess about the research outcome.” (Sarantakos, 1993: 1991) “Hypotheses are always in declarative sentence form, and they relate, either generally or specifically , variables to variables.”  “An hypothesis is a statement or explanation that is suggested by knowledge or observation but has not, yet, been proved or disproved.” (Macleod Clark J and Hockey L 1981)
  • 8. Nature of Hypothesis: The hypothesis is a clear statement of what is intended to be investigated. It should be specified before research is conducted and openly stated in reporting the results. This allows to: Identify the research objectives Identify the key abstract concepts involved in the research Identify its relationship to both the problem statement and the literature review A problem cannot be scientifically solved unless it is reduced to hypothesis form It is a powerful tool of advancement of knowledge, consistent with existing knowledge and conducive to further enquiry
  • 9. Nature of Hypothesis:  It can be tested – verifiable or falsifiable Hypotheses are not moral or ethical questions It is neither too specific nor to general It is a prediction of consequences It is considered valuable even if proven false
  • 10. An Example… Imagine the following situation: You are a nutritionist working in a zoo, and one of your responsibilities is to develop a menu plan for the group of monkeys. In order to get all the vitamins they need, the monkeys have to be given fresh leaves as part of their diet. Choices you consider include leaves of the following species: (a) A (b) B (c) C (d) D and (e) E. You know that in the wild the monkeys eat mainly B leaves, but you suspect that this could be because they are safe whilst feeding in B trees, whereas eating any of the other species would make them vulnerable to predation. You design an experiment to find out which type of leaf the monkeys actually like best: You offer the monkeys all five types of leaves in equal quantities, and observe what they eat. There are many different experimental hypotheses you could formulate for the monkey study. For example: When offered all five types of leaves, the monkeys will preferentially feed on B leaves. This statement satisfies both criteria for experimental hypotheses. It is a •Prediction: It predicts the anticipated outcome of the experiment •Testable: Once you have collected and evaluated your data (i.e. observations of what the monkeys eat when all five types of leaves are offered), you know whether or not they ate more B leaves than the other types.
  • 11. Incorrect hypotheses would include: When offered all five types of leaves, the monkeys will preferentially eat the type they like best. This statement certainly sounds predictive, but it does not satisfy the second criterion: there is no way you can test whether it is true once you have the results of your study. Your data will show you whether the monkeys preferred one type of leaf, but not why they preferred it (i.e., they like it best). I would, in fact, regard the above statement as an assumption that is inherent in the design of this experiment, rather than as a hypothesis. When offered all five types of leaves, the monkeys will preferentially eat B leaves because they can eat these safely in their natural habitat. This statement is problematic because its second part ('because they can eat these safely in their natural habitat') also fails to satisfy the criterion of testability. You can tell whether the monkeys preferentially eat those leaves, but the results of this experiment cannot tell you why. In their natural habitat, howler monkeys that feed in B trees are less vulnerable to predation than monkeys that feed on A, C, D, or E.
  • 12. This is a perfectly good experimental hypothesis, but not for the experiment described in the question. You could use this hypothesis if you did a study in the wild looking at how many monkeys get killed by predators whilst feeding on the leaves of A, B etc. However, for the experimental feeding study in the zoo it is neither a prediction nor testable. When offered all five types of leaves, which type will the monkeys eat preferentially? This is a question, and questions fail to satisfy criterion #1: They are not predictive statements. Hence, a question is not a hypothesis.
  • 13. Types of Hypotheses NULL HYPOTHESES Designated by: 𝐻 𝑜 ALTERNATIVE HYPOTHESES Designated by: H1
  • 14. The null hypothesis represents a theory that has been put forward, either because it is believed to be true or because it is to be used as a basis for argument, but has not been proved.  Has serious outcome if incorrect decision is made! The alternative hypothesis is a statement of what a hypothesis test is set up to establish.  Opposite of Null Hypothesis.  Only reached if H0 is rejected. Frequently “alternative” is actual desired conclusion of the researcher!
  • 15. In a clinical trial of a new drug, the null hypothesis might be that the new drug is no better, on average, than the current drug. We would write H0: there is no difference between the two drugs on average. The alternative hypothesis might be that: the new drug has a different effect, on average, compared to that of the current drug. We would write H1: the two drugs have different effects, on average. the new drug is better, on average, than the current drug. We would write H1: the new drug is better than the current drug, on average.
  • 16. We give special consideration to the null hypothesis…  This is due to the fact that the null hypothesis relates to the statement being tested, whereas the alternative hypothesis relates to the statement to be accepted if / when the null is rejected.  The final conclusion, once the test has been carried out, is always given in terms of the null hypothesis. We either 'reject H0 in favour of H1' or 'do not reject H0'; we never conclude 'reject H1', or even 'accept H1 '.  If we conclude 'do not reject H0', this does not necessarily mean that the null hypothesis is true, it only suggests that there is not sufficient evidence against H0 in favour of H1; rejecting the null hypothesis then, suggests that the alternative hypothesis may be true.
  • 17. Formulating a hypothesis  Formulating Hypothesis is important to narrow a question down to one that can reasonably be studied in a research project.  The formulation of the hypothesis basically varies with the kind of research project conducted:  QUALITATIVE  QUANTITATIVE
  • 18. can be divided into; Deductive Inductive Theory Hypothesis Observation Confirmation Pattern Tentative Hypothesis Theory observation
  • 19. Qualitative Approach  The use of Research Questions as opposed to objectives or hypothesis, is more frequent.  Characteristics  Use of words- what or how.  Specify whether the study: discovers, seeks to understand, explores or describes the experiences.  Use of non-directional wording in the question.  These questions describe, rather than relate variables or compare groups during study.  The questions are usually open-ended, without reference to the literature or theory.  Use of a single focus.
  • 20. The rules of Qualitative research  Kleining offers four rules for a scientific and qualitative process of approaching understanding to reality.  Rule 1 (refers to subject / researcher)  "Prior understandings of the phenomenon to be researched should be seen as provisional and should be transcended with [the discovery of] new information with which they are not consistent."
  • 21. The rules of Qualitative research  Rule 2 (refers to the object of study)  "The object is provisional; it is only fully known after the successful completion of the process of discovery."  Rule 3 (refers to action in relation to the subject of research, hence to data collection)  "The object should be approached from "all" sides; rule of the maximum variation of perspectives.“  Rule 4 (refers to the evaluation of information gathered, hence to data analysis)  "Analysis of the data for common elements."
  • 22. Quantitative Approach  In survey projects the use of research questions and objectives is more Frequent.  In experiments the use of hypotheses are more frequent. comparison between variables  Represent, relationship between variables Characteristics :  The testable proposition to be deduced from theory.  Independent and dependent variables to be separated and measured separately.
  • 23. Characteristics contd... Independent and dependent variables to be separated and measured separately. To be either writing-questions, or objectives or hypotheses, but not a combination. Consider the alternative forms for writing and make a choice based on the audience for the research
  • 24. Generation of Research Hypothesis Problem statements become research hypotheses when constructs are operationalized Initial Ideas (often vague and general) Initial observations Search of existing research literature Statement of the problem Operational definitions of constructs Research hypothesis (a specific deductive prediction)
  • 25. Quantitative Approach To be either writing-questions, or objectives or hypotheses, but not a combination. Consider the alternative forms for writing and make a choice based on the audience for the research
  • 26. Example: Consider the example of a simple association between two variables, Y and X. 1.Y and X are associated (or, there is an association between Y and X). 2. Y is related to X (or, Y is dependent on X). 3. As X increases, Y decreases (or, increases in values of X appear to effect reduction in values of Y).
  • 27. Contd…  The first hypothesis provides a simple statement of association between Y and X. Nothing is indicated about the association that would allow the researcher to determine which variable, Y or X, would tend to cause the other variable to change in value.  The second hypothesis is also a simple statement of association between Y and X, but this time it may be inferred that values of Y are in some way contingent upon the condition of the X variable.  The third hypothesis is the most specific of the three. Not only does it say that Y and X are related and that Y is dependent on X for its value, but it also reveals something more about the nature of the association between the two variables.
  • 28. Testing and Chhalenge-  The degree of challenge to the hypothesis will depend on the type of problem and its importance. It can range from just seeking “a good enough” solution to a much more rigorous challenge.  The term Challenge may include  Verification Justification Refutability Validity Rectification Repeatability Falsification  There are two possibilities  1. Nothing Happened the Null Hypothesis - Ho  2. Something Happened the Alternative Hypothesis - H1
  • 29. Hypothesis testing is a four step procedure: 1.Stating the hypothesis (Null or Alternative) 2. Setting the criteria for a decision 3. Collecting data 4. Evaluate the Null hypothesis
  • 30. Hypothesis testing is a four step procedure:  Hypothesis testing involves making a decision concerning some hypothesis or statement about a population parameter such as the population mean, using the sample mean, to decide whether this statement about the value of is valid or not.  The steps of the hypothesis testing : 1- The first step is to formulate a null hypothesis written . The statement for is usually expressed as an equation or inequality as follows: H0: µ = given Value, H0: µ ≤ given Value, H0: µ ≥given Value
  • 31. Hypothesis testing is a four step procedure: The alternative hypothesis suggests the direction of the actual value of the parameter relative to the stated value. The statement of in the form of an inequality that indicates that the investigator has no opinion as to whether the actual value of is more than or less than the stated value but the feeling is that the stated value is incorrect. In this case the test is two-tail test. Statements in the form of strictly greater than or strictly less than relationship indicate that the investigator has an opinion as to the direction of the value of the parameter relative to the stated value. In this case it is called one-tail test.
  • 32. Hypothesis testing is a four step procedure:  State the level of significance of the test and the corresponding Z values (for large sample tests), or the corresponding T values ( for small sample tests). The hypothesis test is frequently conducted at the 5%, 1% and 10% levels of significance. Some can use the Z values. For a test conducted at any other level of significance, we simply use the normal distribution table to determine a corresponding Z value.  3- Calculate the test statistic for the sample that has taken.  4- Determine the boundary (or boundaries) for the area of rejection regions using either or values. A critical value is the boundary or limit value that requires as to reject the statement of the null hypothesis.
  • 33. Hypothesis testing is a four step procedure: Also in this step it is stated an alternative hypothesis, written , a statement that indicates the opinion of the conductor of the test as to the actual value of . is expressed as follows: Ha: µ ≠given Value, Ha: µ >given Value, Ha: µ <given Value We conduct a hypothesis test on a given value to find out if actual observation would lead us to reject the stated value.
  • 34. Two types of mistakes are possible while testing a Hypothesis :  Type I  Type II  Example: Your actual health doctor Sick well Says Sick You are sick Doctor confirms it Get scared nothing RIGHT wrong Type I error Well Doctor missed your real sickness you are really not sick Type II error RIGHT
  • 35.  Type I Error:  A type I error occurs when the null hypothesis (H0) is wrongly rejected.  For example: A type I error would occur if we concluded that the two drugs produced different effects when in fact there was no difference between them.
  • 36.  Type II Error:  A type II error occurs when the null hypothesis H0, is not rejected when it is in fact false.  For example: A type II error would occur if it were concluded that the two drugs produced the same effect, that is, there is no difference between the two drugs on average, when in fact they produced different ones..
  • 37. Reject H0 Don’t Reject Ho H0 Type I Error Right Decision H1 Right Decision Type II Error To Generalise: A type I error is often considered to be more serious, and therefore more important to avoid, than a type II error. T R U T H
  • 38. Research questions and hypotheses become “signposts” for explaining the purpose of the study & guiding the research…”, Creswell A hypothesis is an explanation, tentative and unsure of itself, for specific phenomena about which you have questions. A well-crafted hypothesis very often suggests the best way to perform the research and gives you clues as to your research design
  • 39. There are different types of hypotheses. Deductive Inductive Research Hypothesis can either be non-directional or directional. There exists a hypothesis that is opposite of the positively stated one, i.e. the null hypothesis Thus to conclude it would be fitting to say “hypothesis is perhaps the most powerful tool, man has invented to achieve dependable knowledge” – Fred Kerlinger…