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

ID: 3434013 • 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 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 population that would respond "crime and violence" to the question asked by the pollsters.

lower limit     ___ % upper limit     ___ %

Explanation / Answer

lower limit : 0.23-0.02 = 0.21 (i.e. 21%)

upper limit: 0.23+0.02 =0.25 (i.e. 25%)