Constructing a Confidence Interval for a Population Proportion

AP Statistics· difficulty 4/5

p̂ = 0.65, n = 400. 95% CI is approximately

A
$(0.62, 0.68)$
B
$(0.55, 0.75)$
C
$(0.60, 0.70)$
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D
$(0.50, 0.80)$

Explanation

SE \approx \sqrt(0.65\cdot0.35/400) \approx 0.0238; ME \approx 0.047 \to CI \approx (0.60, 0.70).

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