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 H 0: p = 0.10, H a: 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, p, is less than 0.10, he will reject the shipment. He will test the hypotheses

H0: p = 0.10, Ha: p < 0.10.

The inspector selects an SRS of 100 potatoes from over 2000 potatoes on the truck. Suppose that six of the potatoes sampled are found to have major defects.

Which of the following assumptions for a statistical inference on the proportion of potatoes with major defects are at risk of being violated?

Answer

The population is at least 10 times as large as the sample.

Answer

The sample size  n  is large enough so that the sampling distribution for    is approximately Normal.

Answer

The data set is a random sample from the population of interest.

Answer

The sample size  n  is large enough that both  np 0  and  n (1 -  p 0 ) are 10 or more, where  p 0  is the proportion with major defects if the null hypothesis is true.

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