An inspector inspects a shipment of medications to determine the efficacy in terms of the proportion p in the shipment that failed to retain full potency after 60 days of production. unless there is clear evidence that this proportion is less than 0.05, she will reject the shipment. she selected an srs of 200 pills. suppose that eight of the pills have failed to retain their full potency. test the following hypotheses using the large-sample test for a population proportion, to reach a decision about the shipment at 5% significance level.
h0 : p = 0.05, ha : p < 0.05