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Hypothesis Test For Two Proportions

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Let p₁ be the proportion of female executives who were promoted and p₂ be the proportion of male executives who were promoted. For a hypothesis test of H₀: p₁ = p₂ against Hₐ: p₁ < p₂, which of the following outcomes would justify rejecting the null hypothesis?

A

p̂₁ = 0.15, p̂₂ = 0.25, p-value = 0.02

B

p̂₁ = 0.30, p̂₂ = 0.20, p-value = 0.01

C

p̂₁ = 0.22, p̂₂ = 0.18, p-value = 0.35

D

p̂₁ = 0.15, p̂₂ = 0.25, p-value = 0.12

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