Do not write on this exam 36. An inspector inspects truckloads of potatoes to ma

Question

Do not write on this exam 36. An inspector inspects truckloads of potatoes to make inferences about the proportion p in the shipment with major defects. A truckload is rejected if it is determined that more than 10% of the truckload has defects. The inspector see a simple random sample of 110 potatoes from the thousands in a particular truckload. Sixteen of the sampled potatoes are found to have major defects. cts The hypotheses Ho: p-0.10 versus Ha: p > 0.10 are tested. We can use the standard Normal distribution to find the p-value in this test of significance because a simple random sample was taken and A. Because both npo 2 10 and n(1-po) 2 10. B. Because both np 10 and n(1-po) 2 10. C. Because the sample size is greater than 30 D. Because the population is Normally distributed. wrtal funds

Explanation / Answer

For the given case of the Binomial distribution, we have the following parameters:

n = 110

p0 = 0.1

We calculate the following products:

n*p0 = 110*0.1 = 11

n*(1-p0) = 110*0.9 = 99

Since both np0 > 10 and n(1-p0)>10, we can use normal approximation to binomial.

So the correct option is (A).

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