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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