An inspector inspects large truckloads of potatoes to determine the proportion p

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 100 potatoes from the over 2000 potatoes on the truck. Suppose that 6 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? Answer a. The data are an SRS from the population of interest. b.The population is at least 10 times as large as the sample. c. n is so large 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.

Explanation / Answer

c. n is so large that both np0 and n(1 - p0) are 10 or more,

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