Question

Two different simple random samples are drawn from two different populations. The first sample consists of 20 people with 10 having a common attribute. The second sample consists of 2200 people with 1595 of them having the same common attribute. Compare the results from a hypothesis test of p1 = p2 ​(with a 0.01 significance​ level) and a 99​% confidence interval estimate of p1 - p2.

1. Identify the test statistic ____ (round to 2 decimal places)

2. Identify the critical values ____ (round to 3 decimal places)

3. The test statistic is ______ the critical region, so _______ the null hypothesis. There is _______ evidence to conclude that p1 does not equal p2.

4. The 99% confidence interval is _____ < (p1 - p2) < ____

What is the conclusion based on the confidence interval?

5. Since 0 is _____ in the interval, it indicates to _____ the null hypothesis

How do the results from the hypothesis test and the confidence interval compare?

6. The results are _____, since the hypothesis test suggests that p1 ____ p2, and the confidence interval suggests that p1 ______ p2.

Answer 1