Question

A magazine provided results from a poll of adults who were asked to identify their favorite pie. Among the ​respondents, ​% chose chocolate​ pie, and the margin of error was given as percentage points. Describe what is meant by the statement that​ "the margin of error was given as percentage​ points.

Which one would be a true statement?
A. The statement indicates that the study is 100%−3​%=97​% confident that the true population percentage of people that prefer chocolate pie is 11​%
B. The statement indicates that the interval 11​%+3​% is likely to contain the true population percentage of people that prefer chocolate pie.
C. The statement indicates that the true population percentage of people that prefer chocolate pie is in the interval 11​%±3​%.
D. The statement indicates that the study is only 3​% confident that the true population percentage of people that prefer chocolate pie is exactly 11​%.

Answer 1

C. The statement indicates that the true population percentage of people that prefer chocolate pie is in the interval 11​%±3​%.

Explanation:

Data provided in the questions

Number of respondents = 1,000

Choose chocolate pie = 11%

margin of error = ±3 percentage points

Based on the above information,

The lower limit is

= 0.11 - 0.03

= 0.08

And, the upper limit is

= 0.11 + 0.03

= 0.14

So based on the above computation, the option c is correct as it represents the true population percentage of people with respect to the chocolate pie preference