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HYPOTHESIS TESTING




Presented by -: Mrs. Kiran Soni,
                Assistant Professor
Inferential Statistics


• Inferential statistics to make judgments of
  the probability that an observed difference
  between groups is a dependable one or
  one that might have happened by chance.
There are two main methods
  used in inferential statistics:
• Estimation &
• Hypothesis testing
What is Hypothesis
• A Hypothesis is the statement or an
  assumption about relationships between
  variables.
                     or

• A Hypothesis is a tentative explanation for
  certain behaviors, phenomenon or events
  that have occurred or will occur.
Interesting Hypothesis
• Bankers assumed high-income earners
  are more profitable than low-income
  earners.
• Old clients were more likely to diminish CD
  balances by large amounts compared to
  younger clients.
  This was nonintrusive because
  conventional wisdom suggested that older
  clients have a larger portfolio of assets
  and seek less risky investments
Criteria for Hypothesis
            Construction
• It should be empirically testable, whether it
  is right or wrong.
• It should be specific and precise.
• The statements in the hypothesis should
  not be contradictory.
• It should specify variables between which
  the relationship is to be established.
• It should describe one issue only.
Steps in Hypothesis Testing
Types of Hypothesis
• Null Hypothesis (H0)
• Alternative Hypothesis (Ha or H1)
Each of the following statements is an example of a null
  hypothesis and alternative hypothesis.
Establish Critical or Rejection region
Select the Suitable Test of
   significance or Test Statistic
• Whether the test involves one sample, two
  samples, or samples?
• Whether two or more samples used are
  independent or related?
• Is the measurement scale
  nominal, ordinal, interval, or ratio?
The choice of a probability distribution of a sample
 statistics is guided but the sample size n and the
value of population standard deviation as shown
                     in the table.
Formulate a Decision Rule to
     Accept Null Hypothesis
• Accept H0 if the test statistic value falls
  within the area of acceptance.
• Reject otherwise.
ERRORS IN HYPOTHESIS
      TESTING
Summary of Certain Values for Sample Statistics Z
THANK YOU

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Hypothesis testing ppt final

  • 1. HYPOTHESIS TESTING Presented by -: Mrs. Kiran Soni, Assistant Professor
  • 2. Inferential Statistics • Inferential statistics to make judgments of the probability that an observed difference between groups is a dependable one or one that might have happened by chance.
  • 3. There are two main methods used in inferential statistics: • Estimation & • Hypothesis testing
  • 4. What is Hypothesis • A Hypothesis is the statement or an assumption about relationships between variables. or • A Hypothesis is a tentative explanation for certain behaviors, phenomenon or events that have occurred or will occur.
  • 5. Interesting Hypothesis • Bankers assumed high-income earners are more profitable than low-income earners. • Old clients were more likely to diminish CD balances by large amounts compared to younger clients. This was nonintrusive because conventional wisdom suggested that older clients have a larger portfolio of assets and seek less risky investments
  • 6. Criteria for Hypothesis Construction • It should be empirically testable, whether it is right or wrong. • It should be specific and precise. • The statements in the hypothesis should not be contradictory. • It should specify variables between which the relationship is to be established. • It should describe one issue only.
  • 8. Types of Hypothesis • Null Hypothesis (H0) • Alternative Hypothesis (Ha or H1) Each of the following statements is an example of a null hypothesis and alternative hypothesis.
  • 9. Establish Critical or Rejection region
  • 10. Select the Suitable Test of significance or Test Statistic • Whether the test involves one sample, two samples, or samples? • Whether two or more samples used are independent or related? • Is the measurement scale nominal, ordinal, interval, or ratio?
  • 11. The choice of a probability distribution of a sample statistics is guided but the sample size n and the value of population standard deviation as shown in the table.
  • 12.
  • 13. Formulate a Decision Rule to Accept Null Hypothesis • Accept H0 if the test statistic value falls within the area of acceptance. • Reject otherwise.
  • 15. Summary of Certain Values for Sample Statistics Z