Answer to Question #48585 in Statistics and Probability for defde

Question

An inspector inspects large truckloads of potatoes to determine the proportion p in the shipment with major defects prior to using the potatoes to make potato chips. Unless there is clear evidence that this proportion is less than 0.10, she will reject the shipment. To reach a decision, she will test the hypotheses

H0: p = 0.10, Ha: p < 0.10

using the large sample test for a population proportion. To do so, she selects an SRS of 150 potatoes from the over 3000 potatoes on the truck. Suppose that only six of the potatoes sampled are found to have major defects.