please answer A,B,C ! thank you !

Assignment: (50 points) - Chapter 8, Pg. 275, problem 8.63 Confidence interval Estimation The manufacturer of Ice Melt claims that its products will melt snow and ice at temperatures as low as O* 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 95% confidence and within 0.05, what proportions 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; i.e., the product being tested is destroyed by the test and is then unavailable to be sold.) Hint: Check PowerPoint PDF slide 48 (Determining sample size) (20 points) b) Suppose that the representative tests 50 bags, and 42 of them do the job as claimed. Construct a 95% confidence interval estimate for the population proportion that will do the job a claimed. Hint: Check PowerPoint PDF slide 37 (Confidence interval Endpoints) (20 points) c) How can the representative use the results of (b) to determine whether to sell the Ice Melt product? Hint: Use the resulting interval from b) to answer this question. No calculation needed. (10 points) Show your formulas, whether in Excel or Word. I want to see how you calculated your results. So, don't answer n=120 for a). You have to show me which values did you use in the formula to get the