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

ID: 3224400 • Letter: A

Question

A poll asked the question, "What do you think is the most important problem facing this country today?" Twenty-three percent of the respondents answered "crime and violence." The margin of error sampling was plus or minus 3 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 population that would respond "crime and violence" to the question asked by the pollsters. lower limit upper limit

Explanation / Answer

from here estimated proportion p=23

hence confidence interval=estimated proportion -/+ margin of errror

lower limit =23-3 =20%

upper limit =23+3=26%