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 lower limit upper limit

Explanation / Answer

p = 0.24

Margin of error, E= 0.04

Lower limit = p - E = 0.24 - 0.04 = 0.2 = 20%

Upper limit = p + E = 0.24 + 0.04 = 0.28 = 28%

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