A company is attempting to determine if it should retain a previously popular shoe model. A random sample of women is obtained, and each person in the sample is asked if she would purchase this existing shoe model. To determine if the old shoe model should be retained, the following hypothesis test is performed at a level of α = 0.05 using p` as the sample proportion of women who said yes.
H0: P ≥ 0.25
H1: P < 0.25
What value of the sample proportion, p`, is required to reject the null hypothesis, given the following sample sizes?
a. n = 400
b. n = 225
c. n = 625
d. n = 900