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 95​% confidence and within ±0.05​, what proportion of bags of the chemical perform the job as claimed by the manufacturer.   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 ________+_ . ​(Round to four decimal places as​ needed.)

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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 95​% confidence and within ±0.05​, what proportion of bags of the chemical perform the job as claimed by the manufacturer.

 

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 ________+_ .
​(Round to four decimal places as​ needed.)
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