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2.Calculate the test statistic: 3.Find the P-value (observed significance level): using a standard normal distribution; each case corresponds to the alternative hypotheses listed above. 4.Conclusion: Reject H0if the P-value is less than the level of significance; otherwise, do not reject H0. Write a conclusion in statistical terms as well as a practical conclusion in the context of the problem.
BUSI1013:STATISTICS FOR BUSINESS 9 Two-sample z-interval for p1- p2 Why? To locate the difference between two population proportions p1- p2. When? Under the same conditions as for the z-test listed above. How: 22211121ˆ1ˆˆ1ˆˆˆnppnppzppcwhere czis the critical value from the standard normal distribution corresponding to level Cconfidence. OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO Now, our week assignment: 1. Consider this hypothesis test: H0: p1 - p2 = 0 Ha: p1 - p2 > 0 Here p1 is the population proportion of “yes”of Population 1 and p2 is the population proportion of “yes” ofPopulation 2. Use the statistics data from a simple random sample of each of the two populations to complete the following: (8 points) Population 1 Population 2 Sample Size (n) 400 600 Number of “yes”300 426 a. Compute the test statistic z.
BUSI1013:STATISTICS FOR BUSINESS 10 b. What is the p-value? c. Should H0 be rejected? Use the p-value and a level of significance of 0.05 to justify your answer. 2 2. Use the data in BUSI1013 Bank Dataset.xlsx (from Unit 1 Exercise Question 2) to answer this question. (4 points each; 8 Points in total) a. Perform a statistical test to see whether the proportion of members who would recommend the Bank to their family and friends have increased because of the change.