13. 0.040. 14. An inspector inspects large truckloads of potatoes to determine t

Question

13.

0.040.

14.

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. 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. The P-value of this test is: less than 0.01. 0.059. 0.029.

0.040.

14.

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. 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. Which statement is TRUE? All of the above statements are true. The inspector will decide to accept the shipment because there's strong evidence that the proportion of potatoes with serious defects is less than 0.10. The inspector's sample size is large enough for valid inference here. The inspector might reach the wrong conclusion about the lot of potatoes, whether he accepts the shipment or not

Explanation / Answer

here p=0.1

and n=200

std error =(p(!-p)/n)1/2 =0.0212

phat=12/200=0.06

hence test stat z=(phat-p)/std error =(0.06-0.1)/0.0212=-1.8856

for above p value =0.029

14)The inspector might reach the wrong conclusion about the lot of potatoes, whether he accepts the shipment or not

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