Constructing a Confidence Interval for a Population Proportion

AP Statistics· difficulty 2/5

A sample of 250 has p̂ = 0.32.

SE = sqrt(p̂(1−p̂)/n) = sqrt(0.32·0.68/250)

What is the standard error?

  • A

    0.0148

  • B

    0.0009

  • C

    0.0295

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  • D

    0.0590

Explanation

SE = sqrt(0.32·0.68/250) = sqrt(0.000871) ≈ 0.0295.

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