8.63 The manufacturer of Ice Melt claims that its product will melt snow and ice at temperatures as low as U\" Fahrenheit. A represen- tative for a large chain of hardware stores is interested in testing this claim. The chain purchases a large shipment of npound bags for distribution. The representative wants to know. with 95% con- fidence and within i 0.05, what proportion of bags of Ice Melt perfcnn the job as claimed by the manufacturer. a. How man}r bags does the representative need to test? What assumption should be made concerning the population propor tion? (This is called dean-active testing; i.e.. the product being tested is destroyed by the test and is then unavailable to be sold.) b. Suppose that the representative tests 50 bags, and 42 of them do the job as claimed. Construct a 95% condence interval estimate for the population proportion that will do the job as claimed. c. How can the representative use the results of (b) to determine whether to sell the Ice Melt product