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 5-pound bags for distribution. The representative wants to know, with 90% confidence and within

0.05, what proportion of bags of the chemical perform the job as claimed by the manufacturer.

Part 1

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

enter your response here.

(Round to four decimal places as needed.)

Part 2

The representative needs to test enter your response here bags.

(Type whole number.)

Part 3

b. Suppose that the representative tests 50 bags, and 37 of them do the job as claimed. Construct a 90%

confidence interval estimate for the population proportion that will do the job as claimed.

enter your response hereenter your response here

(Round to four decimal places as needed.)