Sampling Distributions for Sample Proportions

AP Statistics· difficulty 3/5

p = 0.30, n = 200.

Approximately, what is P(p̂ > 0.36)?

A
$\approx 0.1587$
B
$\approx 0.0322$
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C
$\approx 0.5000$
D
$\approx 0.0668$

Explanation

σ_p̂ = \sqrt(0.3\cdot0.7/200) \approx 0.0324. z = 0.06/0.0324 \approx 1.85. P(Z > 1.85) \approx 0.0322.

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