Constructing a Confidence Interval for a Population Proportion

AP Statistics· difficulty 2/5

In a sample of n=500, p̂=0.40. We want a 95% CI for p.

p̂ = 0.40 ME

What is the margin of error?

  • A

    0.086

  • B

    0.196

  • C

    0.022

  • D

    0.043

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Explanation

SE = sqrt(0.4·0.6/500) ≈ 0.0219. ME = 1.96·0.0219 ≈ 0.043.

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