10.00 points Exercise 8-53 Static A recent survey asked 5,324 individuals: What\

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10.00 points Exercise 8-53 Static A recent survey asked 5,324 individuals: What's most important to you when choosing where to live? The responses are shown by the following frequency distribution, Use Table 1 Response Good jobs Affordable homes Top schools Low crime Things to do 1,969 799 586 1,225 745 Source: CNNMoney.com, July 13, 2010. a. Calculate the margin of error used in the 95% oonfidence level for the population proportion of those who believe that low crime is most important. (Do not round intermediate calculations. Round "z value" and final answer to 3 decimal places.) Margin of error who believe that good jobs or affordable homes are most important. (Do not round intermediate b.Calculate the margin of error used inthe 95% confidence level for the ulation proposon of those calculations. Round "z-value" and final answer to 3 decimal places.) Margin of error c. Explain why the margins of ermor in parts a and b are different The margin of error in part a and b are different because the population proportions in parts a and b OThe margin of error in part a and b are different because the sample proportions in parts a and b are OThe margin of error in part a and b are different because the population standard deviations in parts are different a and b are different References Book & Resources 2 3 4 5 6

Explanation / Answer

a)
z value at 95% cI = 1.96
n = 5324 , p = 1225 / 5324 = 0.230

margin of error = z * sqrt ( p * ( 1 - p) / n )
= 1.645 * sqrt ( 0.230 * ( 1 -0.230) / 5324)
= 0.009

b) z value at 95% cI = 1.96
n = 5324 , p = (1969 / 5324) + ( 799/5324) =0.51990

margin of error = z * sqrt ( p * ( 1 - p) / n )
= 1.645 * sqrt ( 0.5199 * ( 1 -0.5199) / 5324)
= 0.011

c)
The margin of eror in part a nad b are different because sample proportion in parts a and b are different.

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