Question

Two different simple random samples are drawn from two different populations. The first sample consists of 40 people with 20 having a common attribute. The second sam ple consists of 2200 people with 1570 of them having the same common attribute. Compare the results from a hypothesis test of p1 = p2 (with a 0.05 significance level) and a 95% confidence interval estimate of p1-p2 What are the null and alternative hypotheses for the hypothesis test? A. Ho : p1 = p2 H1 P1 P2 O c. Ho: p1 = p2 H1 P1 P2 H1: p1 #p2 H1: p1 = p2 1: p1 p2 Identify the test statistic. (Round to two decimal places as needed.) Identify the critical value(s) (Round to three decimal places as needed. Use a comma to separate answers as needed.) What is the conclusion based on the hypothesis test? The test statistic is ? the critical region, so ? the null hypothesis. There is v evidence to conclude that p1 P2 < ? The 95% confidence interval is | | < (p1-p2) (Round to three decimal places as needed.) What is the conclusion based on the confidence interval? Since 0 is ?| in the interval, it indicates to V the null hypothesis How do the results from the hypothesis test and the confidence interval compare? The results are since the hypothesis test suggests that p1 P2, and the confidence interval suggests that p1P2

Answer 1

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