Refer to the measurement of job satisfaction in Example 4. Rather than average score, researchers often prefer

Question:

Refer to the measurement of job satisfaction in Example 4. Rather than average score, researchers often prefer the proportion who respond "very satisfied." Using the data in Exercise 10.12, compare the proportion for clergy, p1, with the proportion for office supervisors, p2.
(a) Find a 95% confidence interval for the difference of proportions p1 - p2.
(b) Perform the Z test for the null hypothesis H0: P1 = P2 versus H1: p1 > p2. Take α = .05.