A population has p = 0.40. A sample of n = 100 is drawn.
Approximately, what is P(p̂ > 0.50)?
- A
0.1587
- Bcheck_circle
0.0207
- C
0.2500
- D
0.4000
Explanation
σ_p̂ = √(0.4·0.6/100) ≈ 0.049. z = (0.50−0.40)/0.049 ≈ 2.04. P(Z > 2.04) ≈ 0.0207.
Sampling Distributions for Sample Proportions
AP Statistics· difficulty 3/5
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