Question

a magazine provided results from a poll of 500 adults who were asked to identify their favorite pie. among the 500 respondents, 11% chose chocolate pie, and the margin of error was given as ±5 percentage points. describe what is meant by the statement that the margin of error was given as ±5 percentage points.
choose the correct answer below
oa. the statement indicates that the interval 11% ±5% is likely to contain the true population percentage of people that prefer chocolate pie.
ob. the statement indicates that the true population percentage of people that prefer chocolate pie is in the interval 11% ±5%.
oc. the statement indicates that the study is 100% - 5% = 95% confident that the true population percentage of people that prefer chocolate pie is 11%.
od. the statement indicates that the study is only 5% confident that the true population percentage of people that prefer chocolate pie is exactly 11%.

Explanation:

Margin of error in statistics means that the true population value is likely to be within the sample value ± margin of error. Here, the sample percentage is 11% and margin of error is ±5 percentage points. So, the interval \(11\% \pm5\%\) (i.e., from \(11\% - 5\%=6\%\) to \(11\%+ 5\% = 16\%\)) is likely to contain the True population percentage.

Answer:

A. The statement indicates that the interval \(11\% \pm5\%\) is likely to contain the true population percentage of people that prefer chocolate pie.