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Steps in Hypothesis Testing
9. Hypothesis Testing for One Sample / Steps in Hypothesis Testing / Problem 4
Problem 4

A Kruskal–Wallis test is used to compare the wait time distributions at three different service centers. The calculated test statistic is: H8.37H≈8.37
At the α=0.05α=0.05 significance level, the critical value from the chi-square distribution with df=2df=2 is: χ0.05,22=5.991\chi_{0.05,2}^2=5.991
Based on this information, should the null hypothesis be rejected?