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.

ResponseFrequency

Good jobs........1,969

Affordable homes.....799

Top schools........586

Low crime........1,225

Things to do........745

a. Calculate the margin of error used in the 95% confidence level for the population proportion of those who believe that low crime is most important.

b. Calculate the margin of error used in the 95% confidence level for the population proportion of those who believe that good jobs or affordable homes are most important.

c. Explain why the margins of error in parts a and b are different.