9.28 A random sample of women is obtained, and each person in the sample is asked if she would purchase a new shoe model. The new shoe model would be successful in meeting corporate profit objective if more than 25% of the women in the population would purchase this shoe model. The following hypothesis test can be performed at a level of a = 0.03 using pn as the sample proportion of women who said yes.

H0 : P … 0.25 H1 : P 7 0.25 What value of the sample proportion, pn, is required to reject the null hypothesis, given the following sample sizes?

a. n = 400

c. n = 625

b. n = 225

d. n = 900