Hypothesis Test Conclusion for Two Proportions
A hypothesis test for the difference between two proportions yielded a p-value of 0.028. The sample statistics were p̂₁ = 0.62, n₁ = 200, and p̂₂ = 0.51, n₂ = 180. At a significance level of α = 0.01, which statement provides the correct conclusion and reasoning?
A
Reject H₀; the difference p̂₁ - p̂₂ = 0.11 is significant
B
Fail to reject H₀; sample sizes are too small
C
Fail to reject H₀; p-value > 0.01
D
Reject H₀; p-value < 0.05
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