Statistics

A magazine provided results from a poll of 500 adults who were asked to identify their favorite pie. Among the 500 ​respondents, 13​% 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.

A.The statement indicates that the study is only 5​% confident that the true population percentage of people that prefer chocolate pie is exactly 13​%.

B.The statement indicates that the interval 13​%±5​% is likely to contain the true population percentage of people that prefer chocolate pie.Your answer is correct.

C.The statement indicates that the study is ​100%−5​%=95​% confident that the true population percentage of people that prefer chocolate pie is 13​%.

D.The statement indicates that the true population percentage of people that prefer chocolate pie is in the interval 13​%±5​%.

Correct answer (B)