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Definition of Margin of Error: Justin Bieber

APSTAT-UGICWB

Sachem Scribe reported that Justin Bieber "gained the RHAM's student body approval" after his performance at homecoming. A poll was conducted randomly, and its findings were that $90\%$ of the students felt that Bieber's performance was the highlight of homecoming. The poll of $100$ students had a margin of error of $5\%$.

Which of the following statements best describes the margin of error?

A

About $5\%$ of the students don't like Bieber.

B

About $5\%$ of the $100$ students refused to answer.

C

The difference between the sample percentage and the population percentage is likely to be less than $5\%$.

D

About $5\%$ of the students were expected to change their minds after the survey.

E

Not all of the $100$ seniors know Justin Bieber.