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A magazine provided results from a poll of 1000 adults who were asked to identify their favorite pie. Among the 1000 ​respondents, 11​% chose chocolate​ pie, and the margin of error was given as plus or minus ±3 percentage points. Describe what is meant by the statement that​ "the margin of error was given as plus or minus ±3 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​%.

Sagot :

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