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

Question

A poll asked the question, "What do you think is the most important problem facing this country today?" Twenty-four percent of the respondents answered "crime and violence." The margin of sampling error was plus or minus 4 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.

Explanation / Answer

Interval is p +/- margin of error

p = 0.24 +/- 0.04

0.20 < p < 0.28

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