Question: A medical school claims that more than 28% of its students plan to go into general practice.

a. It is found that among a random sample of 130 of the school’s students, 42 of them plan to go into general practice. Does this sample evidence support the school’s claim? Use the p-value approach and \(\alpha \) = 0.05 to make your decision.

b. Suppose a second sample is collected a year after the first with the results indicating 57 out of 135 plan to go into general practice. Does this sample evidence support the school’s claim? Use the p-value approach and \(\alpha \) = 0.05 to make your decision.