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 0.1, he will reject the shipment. He will test the hypotheses H0:p=0.1, H?:p<0.1. He selects an SRS of 200 potatoes from the more than 5000 potatoes on the truck. Suppose that 12 of the potatoes sampled are found to have major defects. If the P ‑value of this test is between 0.01 and 0.05, which of the given statements is true? A. There is less than a 1% chance of performing this test again and finding results that are at least as extreme as what was observed with this sample. B. There is less than a 5% chance of performing this test again and finding results that are at least as extreme as what was observed with this sample. C. There is a less than 5% chance of observing defective potatoes in any given sample. D. We cannot reject the null hypothesis.

Question

Mathematics

Verena

10 February, 07:48

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 0.1, he will reject the shipment. He will test the hypotheses H0:p=0.1, H?:p<0.1. He selects an SRS of 200 potatoes from the more than 5000 potatoes on the truck. Suppose that 12 of the potatoes sampled are found to have major defects. If the P ‑value of this test is between 0.01 and 0.05, which of the given statements is true? A. There is less than a 1% chance of performing this test again and finding results that are at least as extreme as what was observed with this sample. B. There is less than a 5% chance of performing this test again and finding results that are at least as extreme as what was observed with this sample. C. There is a less than 5% chance of observing defective potatoes in any given sample. D. We cannot reject the null hypothesis.

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Answers (1)

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Malik Barton · Answer 1

There is less than 5% chance of performing this test again and finding results that are atleast as extreme as what was observed with this sample.

option b is correct.