2. Say that you wish to construct a 90% confidence interval for the difference of two proportions, p1 p2.

A. What conditions must be checked in order for you to perform the calculation and be sure that it will be reasonably accurate?

B. Assuming all conditions are met, calculate a 90% confidence interval for p1 p2 where p 1 = 0.816, p 2 = 0.630, and where m(margin of error) = 0.132.

C. A significance test is run on the difference of the two proportions, p1 and p2, with hypotheses as follows:

Ho : p1 p2 = 0

H : p1 p2 0

Based on the 90% CI calculated in part B, what decision would you expect to make regarding the null hypothesis when testing at = 0.10 and why?