Inference from Sample Statistics and Margin of Error

SAT Math· difficulty 5/5

Two candidate polls: Candidate X 51%, Candidate Y 49%, margin of error ±4%\pm 4\%. What is the most reliable conclusion?

  • A

    Y is winning.

  • B

    The race is too close to call given the margin of error.

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  • C

    X is winning.

  • D

    There is exactly a 2% gap.

Explanation

With ±4%\pm 4\% margin, the candidates' confidence intervals overlap heavily. The race is statistically a tie.

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