A potato chip manufacturer has just received a shipment of potatoes. The manufacturer requires that the proportion of potatoes with blemishes should be less than 8%. A random sample of 500 potatoes...

A potato chip manufacturer has just received a shipment of potatoes. The manufacturer requires that the proportion of potatoes with blemishes should be less than 8%. A random sample of 500 potatoes from the shipment reveals that 47 of the potatoes have blemishes. Is there sufficient evidence to conclude that the shipment contains more than 8% blemished potatoes? Assume α = .10

a. Indicate the null and alternative hypotheses.
b. What is the rejection region (the set of values of the test statistic for which we can reject the null hypothesis)?
c. Compute the test statistic.
d. What is your conclusion?
e. What is the p-value?