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b. Suppose that the representative tests 50 bags, and 36 of them do the job as claimed. Construct a 99% confidence interval estimate for the population proportion that will do the job as claimed. (Round to four decimal places as needed.)

b. Suppose that the representative tests 50 bags, and 36 of them do the job as claimed. Construct a 99% confidence interval estimate for the population proportion that will do the job as claimed. (Round to four decimal places as needed.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 +0.06, what proportion of bags of the chemical perform the job as claimed by the manufacturer. Complete parts (a) through (c) below. 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 0.5000. (Round to four decimal places as needed.) The representative needs to test 461 bags. (Type a whole number.) C b. Suppose that the representative tests 50 bags, and 36 of them do the job as claimed. Construct a 99% confidence interval estimate for the population proportion that will do the job as claimed. (Round to four decimal places as needed.)
Transcribed Image Text: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 +0.06, what proportion of bags of the chemical perform the job as claimed by the manufacturer. Complete parts (a) through (c) below. 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 0.5000. (Round to four decimal places as needed.) The representative needs to test 461 bags. (Type a whole number.) C b. Suppose that the representative tests 50 bags, and 36 of them do the job as claimed. Construct a 99% confidence interval estimate for the population proportion that will do the job as claimed. (Round to four decimal places as needed.)
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