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 over 5000 potatoes on the truck. Suppose that 12 of the potatoes sampled are found to have major defects.
Using the plus four method, a 95% confidence interval for the true proportion of potatoes in the truck that have major defects is
A. 0.034 to 0.103.
B. 0.009 to 0.111.
C. 0.051 to 0.103.
D. 0.027 to 0.093.