The manufacturer of “Ice Melt” claims its product will melt snow and ice at temperature as low as 00 Fahrenheit. A…

The manufacturer of “Ice Melt” claims its product will melt snow and ice at temperature as low as 00
Fahrenheit. A representative for a large chain of hardware stores is interested in testing this claim. The
chain purchases a large shipment of five-pound bags for distribution. The representative wants to know
with 95% confidence, within + 0.05, what proportion of bags of Ice Melt perform the job as claimed by
the manufacturer.
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 representative test tests 50 bags, and
42 do the job as claimed
b. Construct a 95% confidence interval estimate for the population proportion that will do the job as
claimed
c. How can the representative use the result of (b), to determine whether to sell the Ice Melt product?