In each of the situations of Problem 6.3.5, set up the rejection region and state the decision rule. Do this first with a 5% significance level and then with a 10% significance level. Save your results for the continuation in later problems. (a) Each week, you'll be taking samples of 300 parts.(b) Each month, you'll interview 50 registered voters randomly chosen from the registration list for that district.(c) You'll take a sample of ten links each month from the incoming shipment.(d) Follow the same procedure as in part (c).Problem 6.3.5:Set up the hypotheses for each of the situations in parts (a)-(d). Keep your notes for this problem, we'll return to it in several other problems. (a) Suppose that any machine part from your manufacturing process with a diameter less than 3.15 mm is entirely useless, but otherwise the part is functional. You want to monitor the process to avoid too many useless parts. Assume you're willing to discard up to one in 50 parts.(b) You are campaign consultant for a presidential candidate. One particular district seems certain, with some 84% of voters supporting your candidate. Nevertheless, over the coming year before the election you will monitor support in that district on a monthly basis. If it ever appears that support in that district has fallen more than three percentage points below the present level, you will step up the campaign effort in that district. (c) You're monitoring incoming shipments of chain links as they arrive each month from your supplier. The contract with your supplier guarantees a mean length for the links of at least 1.2 ern and permits you to reject a shipment if on the basis of a random sample it appears not to meet specifications. (d) The chains which you're manufacturing in part (c) contain 92 links. You want to write a contract with your supplier of chain links that guarantees no more than one percent of the chains vary in length by more than a centimeter. So in the contract with the supplier you've guaranteed that the standard deviation for the lengths of chains is at most one-third of a centimeter. Why “one-third”? Set up your hypothesis test to reject a shipment if it appears on the basis of a random sample not to meet specifications. (e) In part (d), the contract will not contain an “at most one-third of a centimeter” condition. What condition will it contain?