# Question

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 α = 0.03 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

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

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