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A poll asked the question, \"What do you think is the most important problem fac

ID: 3360030 • Letter: A

Question

A poll asked the question, "What do you think is the most important problem facing this country today?" Twenty-two percent of the respondents answered "crime and violence." The margin of sampling error was plus or minus 2 percentage points. Following the convention that the margin of error is based on a 95% confidence interval, find a 95% confidence interval for the percentage of the poplation that would respond "crime and violence" to the question asked by the pollsters. lower limit upper limit

Explanation / Answer

for we know that lower limit =estimated proportion -margin of error =22-2 =20%

upper limit =estimated proportion +margin of error =22+2 =24$

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