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 potatoe chips. Unless there is clear evidence that this proportion is less than 0.10, she will reject the shipment. To reach a decision, she will test the hypothesesHo: p= 0.10, Ha: p< 0.10using the large sample for a population proportion. To do so, she selects an SRS of 150 potatoes from the over 3000 potatoes on the truck. Suppose that only six of the potatoes sampled are found to have major defects.1. The P-value of her test is:a) less than 0.002b) 0.0010c) 0.0071d) 0.01422. Which of the following assumptions for inference about a proportion, using a hypothesis test, are violated?a) The data are an SRS from the population of interestb) The population is at least 10 times as large as the samplec) n is so large theat both np0 andn(1-p0) are 10 or more, where p0 is the proportion with major defects, if the null hypothesis is true.d) There appear to be no violations