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HYPOTHESIS
TESTING
WHAT IS
HYPOTHESIS
TESTING?
Making assumption about
population parameter
Collecting sample data
Calculating a sample statistic
an analyst tests an assumption
regarding a population
parameter.
Hypothesis testing refers to:
Hypothesis Testing
Null Hypothesis(H0) Alternative Hypothesis(H1)
Hypothesis that states that
there is no relationship
between two population
parameters.
Researchers reject or
disprove the null hypothesis
to set the stage for further
experimentation or research
that explains the position of
interest.
It is a statement used in
statistical inference
experiment.
We can also say that it is simply
an alternative to the null.
In hypothesis testing, an
alternative theory is a
statement which a researcher is
testing.
A type of conjecture
in statistics that
proposes that there is
no difference
between certain
characteristics of a
population or data-
generating process.
NULL HYPOTHESIS (H0)
A null hypothesis is a
type of statistical
hypothesis that
proposes that no
statistical significance
exists in a set of given
observations.
It is used to assess
the credibility of a
hypothesis by using
sample data.
We can also say
that it is simply
an alternative to
the null.
In hypothesis
testing, an
alternative
theory is a
statement which
a researcher is
testing.
ALTERNATING HYPOTHESIS
The alternative
hypothesis is a
statement used in
statistical
inference
experiment.
It is contradictory
to the null
hypothesis.
Null Hypothesis Alternative Hypothesis
It denotes there is no relationship
between two measured phenomena.
It’s a hypothesis that a random cause
may influence the observed data or
sample.
It is represented by H0 It is represented by Ha or H1
Example: Rohan will win at least Rs.100000
in lucky draw.
Example: Rohan will win less than
Rs.100000 in lucky draw.
STEP 1:
STEP 2:
STEP 3:
STEP 4:
STEP 5:
State your null and alternate Hypothesis
Collect data
Perform a statistical test
Decide whether to reject or fail to reject your
null hypothesis
Present your findings
Steps for
testing
hypothesis
Setup Hypothesis
Null Hypothesis and Alternative
Hypothesis
PROCEDURES
FOR TESTING
HYPOTHESIS Set up a suitable significance level
Setting a test criterion
t-test, F and chi square (χ 2 )
Doing Computation
Making Decisions
TWO TYPES
OF ERRORS
IN TESTING
OF
HYPOTHESIS
The hypothesis is true but our
test rejects it.
Denoted by α.
The hypothesis is false but our
test accepts it.
Denoted by β.
Type I Error:
Type II Error:
TWO TAILED TEST OF HYPOTHESIS
In statistics, a two-tailed test is a method in which the critical area of a
distribution is two-sided and tests whether a sample is greater or less than a
range of values.
It is used in null-hypothesis testing and testing for statistical significance.
If the sample being tested falls into either of the critical areas, the
alternative hypothesis is accepted instead of the null hypothesis.
By convention two-tailed tests are used to determine significance at the 5%
level, meaning each side of the distribution is cut at 2.5%.
One tailed test of hypothesis
A one-tailed test is a statistical hypothesis test
set up to show that the sample mean would be
higher or lower than the population mean, but
not both.
When using a one-tailed test, the analyst is
testing for the possibility of the relationship in
one direction of interest and completely
disregarding the possibility of a relationship in
another direction.
Before running a one-tailed test, the analyst
must set up a null and alternative hypothesis
and establish a probability value (p-value).
THANK
YOU!
Have a
great day
ahead.

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Hypothesis testing pdf bhavana.pdf

  • 2. WHAT IS HYPOTHESIS TESTING? Making assumption about population parameter Collecting sample data Calculating a sample statistic an analyst tests an assumption regarding a population parameter. Hypothesis testing refers to:
  • 3. Hypothesis Testing Null Hypothesis(H0) Alternative Hypothesis(H1) Hypothesis that states that there is no relationship between two population parameters. Researchers reject or disprove the null hypothesis to set the stage for further experimentation or research that explains the position of interest. It is a statement used in statistical inference experiment. We can also say that it is simply an alternative to the null. In hypothesis testing, an alternative theory is a statement which a researcher is testing.
  • 4. A type of conjecture in statistics that proposes that there is no difference between certain characteristics of a population or data- generating process. NULL HYPOTHESIS (H0) A null hypothesis is a type of statistical hypothesis that proposes that no statistical significance exists in a set of given observations. It is used to assess the credibility of a hypothesis by using sample data.
  • 5. We can also say that it is simply an alternative to the null. In hypothesis testing, an alternative theory is a statement which a researcher is testing. ALTERNATING HYPOTHESIS The alternative hypothesis is a statement used in statistical inference experiment. It is contradictory to the null hypothesis.
  • 6. Null Hypothesis Alternative Hypothesis It denotes there is no relationship between two measured phenomena. It’s a hypothesis that a random cause may influence the observed data or sample. It is represented by H0 It is represented by Ha or H1 Example: Rohan will win at least Rs.100000 in lucky draw. Example: Rohan will win less than Rs.100000 in lucky draw.
  • 7. STEP 1: STEP 2: STEP 3: STEP 4: STEP 5: State your null and alternate Hypothesis Collect data Perform a statistical test Decide whether to reject or fail to reject your null hypothesis Present your findings Steps for testing hypothesis
  • 8. Setup Hypothesis Null Hypothesis and Alternative Hypothesis PROCEDURES FOR TESTING HYPOTHESIS Set up a suitable significance level Setting a test criterion t-test, F and chi square (χ 2 ) Doing Computation Making Decisions
  • 9. TWO TYPES OF ERRORS IN TESTING OF HYPOTHESIS The hypothesis is true but our test rejects it. Denoted by α. The hypothesis is false but our test accepts it. Denoted by β. Type I Error: Type II Error:
  • 10. TWO TAILED TEST OF HYPOTHESIS In statistics, a two-tailed test is a method in which the critical area of a distribution is two-sided and tests whether a sample is greater or less than a range of values. It is used in null-hypothesis testing and testing for statistical significance. If the sample being tested falls into either of the critical areas, the alternative hypothesis is accepted instead of the null hypothesis. By convention two-tailed tests are used to determine significance at the 5% level, meaning each side of the distribution is cut at 2.5%.
  • 11. One tailed test of hypothesis A one-tailed test is a statistical hypothesis test set up to show that the sample mean would be higher or lower than the population mean, but not both. When using a one-tailed test, the analyst is testing for the possibility of the relationship in one direction of interest and completely disregarding the possibility of a relationship in another direction. Before running a one-tailed test, the analyst must set up a null and alternative hypothesis and establish a probability value (p-value).