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Hypothesis Test Conclusion for Two Proportions
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A study comparing two treatments had these results: p̂₁ = 0.62, p̂₂ = 0.51, n₁ = 200, n₂ = 180, p-value = 0.028. For α = 0.01, which conclusion and reasoning are correct?

A

Reject H₀; the difference p̂₁ - p̂₂ = 0.11 is significant

B

Fail to reject H₀; p-value > 0.01

C

Fail to reject H₀; sample sizes are too small

D

Reject H₀; p-value < 0.05

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