Two different simple random samples are drawn from two different populations. Th

Question

Two different simple random samples are drawn from two different populations. The first sample consists of 20 people with 11 having a common attribute. The second sample consists of 1900 people with 1339 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? C. Ho P1P2 H1 P1 P2 H1: P1 P2 H1 P1P2 ldentify the test statistic. OF. Ho: P1 P2 (Round to two decimal places as needed.)

Explanation / Answer

The statistical software output for this problem is:

Two sample proportion summary hypothesis test:
p1 : proportion of successes for population 1
p2 : proportion of successes for population 2
p1 - p2 : Difference in proportions
H0 : p1 - p2 = 0
HA : p1 - p2 0

Hypothesis test results:

Hence,

Test statistic = - 1.51

Difference Count1 Total1 Count2 Total2 Sample Diff. Std. Err. Z-Stat P-value p1 - p2 11 20 1339 1900 -0.15473684 0.10269798 -1.5067175 0.1319

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