A chemical manufacturer claims that its ice-melting product will melt snow and ice at temperatures as low as 0 Fahrenheit. A representative for a large chain of hardware stores is interested in testing this claim. The chain purchases a large shipment of 5pound bags for distribution. The representative wants to know, with 90% confidence and within 1 0.04, what proportion of bags of the chemical perform the job as claimed by the manufacturer. Complete parts (a) through (c) below. E) a. How many bags does the representative need to test? What assumption should be made concerning the population proportion? (This is called destructive testing; that is, the product being tested is destroyed by the test and is then unavailable to be sold.) The population proportion should be assumed to be equal to (Round to four decimal places as needed.) The representative needs to test bags. (Type a whole number.) b. Suppose that the representative tests 50 bags, and 36 of them do the job as claimed. Construct a 90% condence interval estimate for the population proportion that will do the job as claimed. 51:5 (Round to four decimal places as needed.) c. How can the representative use the results of (b) to determine whether to sell the manufacturer's icemelting product? The representative can conclude V that the proportion of all bags that will do the job as claimed is between the lower and upper limits of the confidence interval estimate. If the representative's minimum acceptable proportion is V than the upper limit, the representative should not sell the product