Question
Two different simple random samples are drawn from two different populations. The first sample consists of...
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.
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