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. A particular shipment will be rejected if 10% or more of the potatoes in that shipment have major defects. An SRS of 100 potatoes from the over 2000 potatoes on the truck was selected. Suppose that six of the potatoes sampled are found to have major defects.
Which of the following are the appropriate hypotheses of a test of significance for the proportion?

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. A particular shipment will be rejected if 10% or more of the potatoes in that shipment have major defects. An SRS of 100 potatoes from the over 2000 potatoes on the truck was selected. Suppose that six of the potatoes sampled are found to have major defects.

Which of the following are the appropriate hypotheses of a test of significance for the proportion?

Answer

H 0: p = 0.10,  H a: p ≠ 0.10

Answer

H 0: p = 0.10,  H a: p > 0.10

Answer

H 0: p = 0.06,  H a: p ≠ 0.06

Answer

H 0: p = 0.10,  H a: p < 0.10

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