p = 0.7, n = 100.
Approximately, what is P(p̂ < 0.65)?
- A
≈ 0.5000
- B
≈ 0.0668
- C
≈ 0.0228
- Dcheck_circle
≈ 0.1379
Explanation
σ_p̂ = √(0.7·0.3/100) ≈ 0.0458. z = (0.65−0.7)/0.0458 ≈ −1.09. P(Z < −1.09) ≈ 0.1379.
AP Statistics· difficulty 3/5
p = 0.7, n = 100.
Approximately, what is P(p̂ < 0.65)?
≈ 0.5000
≈ 0.0668
≈ 0.0228
≈ 0.1379
Explanation
σ_p̂ = √(0.7·0.3/100) ≈ 0.0458. z = (0.65−0.7)/0.0458 ≈ −1.09. P(Z < −1.09) ≈ 0.1379.
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