A random sample of women is obtained, and each person in the sample is asked if she would purchase a new shoe model. To determine if the new shoe model would have sales of at least 25% to meet corporate profit objectives, the following hypothesis test is performed at a level of α = 0.03 using p Hat as the sample proportion of women who said yes.

Null hypothesis: P is less than or equal to 0.25

Alternate hypothesis: P is greater than 0.25

What value of the sample proportion, p Hat, is required to reject the null hypothesis, given the following sample sizes?

a) n=400

b) n=225

c) n=625

d) n=900