Homework: Chapter 9 Save Score: 0.62 of 1 pt 5 of 20 (5 complete) E Question Hel

Question

Homework: Chapter 9 Save Score: 0.62 of 1 pt 5 of 20 (5 complete) E Question Help 9.2.20-T Two different simple random samples are drawn from two different populations. The first sample consists of 40 people with 18 having a common attribute. The second sample consists of 2000 people with 1453 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 o p1 p2 What are the null and alternative hypotheses for the hypothesis test? O C. o: p1 sp2 O A. Ho: p1 p2 Ho: p p2 H1: p1 p2 H1: p1 p2 O D. Ho: p1 p2 O F. Ho: p p2 O E. Ho: p p2 H1: p p2 H1: p p2 H1: p1 p2 Identify the test statistic. (Round to two decimal places as needed.)

Explanation / Answer

I think we need to calculate 95% confidence interval, not 99% in part 3) as per the question.

The statistical software output for this problem is:

Two sample proportion 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
Note: the standard error is calculated using a pooled estimate for the proportion

Hypothesis test results:

95% confidence interval results:

Hence,

1) Test statistic = -3.86

2) P - Value = 0.0001

3) 95% confidence interval: (-0.432, -0.121)

Difference Count1 Total1 Count2 Total2 Sample Diff. Std. Err. Z-Stat P-value p1 - p2 18 40 1453 2000 -0.2765 0.071614736 -3.8609372 0.0001

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