Inference from Sample Statistics and Margin of Error

SAT Math· difficulty 4/5

A poll reports that 52% of voters support a candidate, with a margin of error of ±3%\pm 3\%. Which statement is best supported?

  • A

    The candidate will win the election.

  • B

    Between 49% and 55% of all voters likely support the candidate.

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  • C

    The poll is wrong.

  • D

    Exactly 52% of all voters support the candidate.

Explanation

Margin of error gives a plausible range: 52%±3%=(49%,55%)52\% \pm 3\% = (49\%, 55\%).

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