Chi-Square Test and Bonferroni Correction
A chi-square test for homogeneity was conducted to compare customer satisfaction ratings (satisfied, neutral, dissatisfied) across three service providers. The test yielded a statistic of χ² = 9.72 and a p-value of 0.045. This was one of five separate analyses performed using an initial significance level of α = 0.05. If the Bonferroni correction is applied to account for multiple tests, what is the appropriate conclusion?
A
Reject H₀; χ² value exceeds degrees of freedom
B
Fail to reject H₀; p > adjusted α of 0.01
C
Fail to reject H₀; chi-square tests always use α = 0.01
D
Reject H₀; p < original α of 0.05
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