Constructing a Confidence Interval for a Population Proportion

AP Statistics· difficulty 2/5

Two researchers use the same sampling method but Researcher B uses 4 times the sample size.

SE ∝ 1/sqrt(n) n_B = 4·n_A SE_B / SE_A = ?

Researcher B's margin of error compared to A's will be:

  • A

    The same

  • B

    One-fourth as large

  • C

    Half as large

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  • D

    Twice as large

Explanation

Multiplying n by 4 divides SE by 2, so ME is halved.

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