4. Equivalence of Hypothesis Tests and Confidence Intervals Given sample proportions from two different populations, we want to use a 0.05 significance level to test the claim that p1
p2. One approach is to use the P-value method of hypothesis testing, a pˆ, p, p pˆ, p, p z 5 spˆ1 2 pˆ2d 2 sp1 2 p2d

Ç

pˆ1qˆ1 n1 1

pˆ2qˆ2 n2 464 Chapter 9 Inferences from Two Samples second approach is to use the traditional method of hypothesis testing, and a third approach is to base the conclusion on the 95% confidence interval estimate of p1 – p2.

Will all three approaches always result in the same conclusion? Explain.

Finding Number of Successes. In Exercises 5–8, find the number of successes x suggested by the given statement.