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 99?% confidence and within ±0.03?, what proportion of bags of the chemical perform the job as claimed by the manufacturer.
- How many bags does the representative need to? test?
- Suppose that the representative tests 50 bags, and 38 of them do the job as claimed. Construct a 99?% confidence interval estimate for the population proportion that will do the job as claimed.