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An inspector inspects large truckloads of potatoes to determine the proportion p in the shipment with...

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Basic Math

An inspector inspects large truckloads of potatoes to determinethe proportion p in the shipment with major defects prior to usingthe potatoes to make potato chips. Unless there is clear evidencethat this proportion, p, is less than 0.10, he will reject theshipment. He will test the hypotheses H 0 : p = 0.10 , H a : p <0.10 . He selects an SRS of 100 potatoes from the over 2000potatoes on the truck. Suppose that 6 of the potatoes sampled arefound to have major defects. Which of the following is true?Strictly speaking, the inspector should take a larger sample inorder to more safely apply the large sample significance test forproportion. The inspector might reach the wrong conclusion aboutthe lot of potatoes, whether he returns the shipment or not. Theinspector will decide to reject the shipment because there's weakevidence that the proportion of potatoes with serious defects isless than 0.10. All of the above statements are true.

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