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Prem Sankar C
M Tech Technology
Management
Dept of Futures Studies
Kerala University

HYPOTHESIS TESTING
Prem Sankar C - Dept of Futures Studies
INTRODUCTION
• A statement which is capable of being
tested by scientific methods.
• A statistical hypothesis is a statement
which we want to test on the basis of
result obtained from a random sample
• The procedure by which either accept or
reject the hypothesis is called testing
hypothesis
Prem Sankar C - Dept of Futures
Studies
BASIC CONCEPTS
 Null hypothesis
 Alternate hypothesis

Prem Sankar C - Dept of Futures
Studies
NULL HYPOTHESIS
• Null hypothesis is the hypothesis
which we want to reject
• denoted by H0

Prem Sankar C - Dept of Futures
Studies
ALTERNATE HYPOTHESIS

• Alternate hypothesis is the hypothesis
which we want to prove
• denoted by Ha

Prem Sankar C - Dept of Futures
Studies
TYPE I AND TYPE II ERRORS
• Two possible types of errors are
i.
ii.

Rejecting Ho when it is true
Accepting Ho when it is false
Accept Ho

Reject Ho

Ho is true

Correct decision

Type I error (α)

Ho is false

Type II error (β)

Correct decision

α
1-β

- Level of significance
- power Sankartest of Futures
Prem of C - Dept
Studies
LEVEL OF SIGNIFICANCE - α

• The probability of rejecting hypothesis
H0 when it is true
• 5% Level of significance means that
there is a risk of 5% of rejecting H0

Prem Sankar C - Dept of Futures
Studies
PROCEDURE FOR TESTING A HYPOTHESIS

1. Formulate a null hypothesis and an
Alternate hypothesis
2. Specify the level of significance
3. Select an appropriate sampling
distribution
4. Select a random sample
5. Decide whether to reject Ho or not
Prem Sankar C - Dept of Futures
Studies
THANK YOU
Prem Sankar C
M Tech Technology
Management
Dept of Futures Studies
Kerala University
Prem Sankar C - Dept of Futures
Studies
THANK YOU
Prem Sankar C
M Tech Technology
Management
Dept of Futures Studies
Kerala University
Prem Sankar C - Dept of Futures
Studies

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Hypothesis Testing for Beginners

  • 1. Prem Sankar C M Tech Technology Management Dept of Futures Studies Kerala University HYPOTHESIS TESTING Prem Sankar C - Dept of Futures Studies
  • 2. INTRODUCTION • A statement which is capable of being tested by scientific methods. • A statistical hypothesis is a statement which we want to test on the basis of result obtained from a random sample • The procedure by which either accept or reject the hypothesis is called testing hypothesis Prem Sankar C - Dept of Futures Studies
  • 3. BASIC CONCEPTS  Null hypothesis  Alternate hypothesis Prem Sankar C - Dept of Futures Studies
  • 4. NULL HYPOTHESIS • Null hypothesis is the hypothesis which we want to reject • denoted by H0 Prem Sankar C - Dept of Futures Studies
  • 5. ALTERNATE HYPOTHESIS • Alternate hypothesis is the hypothesis which we want to prove • denoted by Ha Prem Sankar C - Dept of Futures Studies
  • 6. TYPE I AND TYPE II ERRORS • Two possible types of errors are i. ii. Rejecting Ho when it is true Accepting Ho when it is false Accept Ho Reject Ho Ho is true Correct decision Type I error (α) Ho is false Type II error (β) Correct decision α 1-β - Level of significance - power Sankartest of Futures Prem of C - Dept Studies
  • 7. LEVEL OF SIGNIFICANCE - α • The probability of rejecting hypothesis H0 when it is true • 5% Level of significance means that there is a risk of 5% of rejecting H0 Prem Sankar C - Dept of Futures Studies
  • 8. PROCEDURE FOR TESTING A HYPOTHESIS 1. Formulate a null hypothesis and an Alternate hypothesis 2. Specify the level of significance 3. Select an appropriate sampling distribution 4. Select a random sample 5. Decide whether to reject Ho or not Prem Sankar C - Dept of Futures Studies
  • 9. THANK YOU Prem Sankar C M Tech Technology Management Dept of Futures Studies Kerala University Prem Sankar C - Dept of Futures Studies
  • 10. THANK YOU Prem Sankar C M Tech Technology Management Dept of Futures Studies Kerala University Prem Sankar C - Dept of Futures Studies