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Hypothesis Test For Two Proportions
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A study examines whether the proportion of female executives differs from the proportion of male executives who received promotions last year. If p₁ represents the proportion of female executives promoted and p₂ represents the proportion of male executives promoted, which scenario would lead to rejecting H₀: p₁ = p₂ in favor of Hₐ: p₁ < p₂?

A

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

B

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

C

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

D

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

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