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 p is less than 0.10, he will reject the shipment. He will test the hypotheses H0: p = 0.10, Ha: p < 0.10. He selects an SRS of 200 potatoes from the over 5000 potatoes on the truck. Suppose that twelve of the potatoes sampled are found to have major defects. Which of the following assumptions for inference about a proportion using a hypothesis test are violated?
A. n is large enough that both np0 and n(1 – p0) are 10 or more, where p0 is the proportion with major defects if the null hypothesis is true.
B. The data are an SRS from the population of interest.
C. The population is at least 10 times as large as the sample.
D. There appear to be no violations.