Consider the following to answer the question(s) below:
Assume that a Kruskal-Wallis test is being conducted to determine whether or not all groups come from the same distribution.

-At α = 0.05,
A) we fail to reject the null hypothesis and conclude the groups come from the same distribution.
B) we reject the null hypothesis and conclude that at least one group has the different distribution from the others.
C) we support the alternative hypothesis.
D) as H = 2.16

Question

Consider the following to answer the question(s) below:
Assume that a Kruskal-Wallis test is being conducted to determine whether or not all groups come from the same distribution.

-At α = 0.05,
A) we fail to reject the null hypothesis and conclude the groups come from the same distribution. 
B) we reject the null hypothesis and conclude that at least one group has the different distribution from the others. 
C) we support the alternative hypothesis. 
D) as H = 2.16 < χcrt2 = 5.991, we fail to reject the alternative hypothesis. 
E) as H = 2.16 < χcrt2 = 5.991, we reject the null hypothesis and conclude the groups do not come from the same distribution.

Quizplus · Accepted Answer

At α = 0.05 significance level, if the calculated test statistic is less than the critical value (χcrt2 = 5.991), we fail to reject the null hypothesis and conclude that the groups come from the same distribution. Therefore, the correct choice is A.

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