Suppose that a small college claims majority of their students graduate within four years. A random survey of 250 alumni finds that 145 of them graduated within 4 years.
Given that the pair of hypotheses that correspond to the claim are as follows:
H0: p <= 0.50
H1: p > 0.50
Find the critical values for the hypothesis test. Assume that the significance level is a=0.03.
Answer: z = ________________