A sports agent wants to understand the differences in the annual earnings of players in different sports. The following table shows the annual earnings (in million $) of 52 athletes. For the Kruskal-Wallis test, the rank sums for each group are at the bottom of the table. Using the critical value approach and α = 0.01, the appropriate conclusion is ________.
A) do not reject the null hypothesis; we cannot conclude not all median annual earnings are equal
B) reject the null hypothesis; we can conclude not all median annual earnings are equal
C) reject the null hypothesis; we cannot conclude not all median annual earnings are the equal
D) do not reject the null hypothesis; we can conclude that not all median annual earnings are equal

Question

A sports agent wants to understand the differences in the annual earnings of players in different sports. The following table shows the annual earnings (in million $) of 52 athletes. For the Kruskal-Wallis test, the rank sums for each group are at the bottom of the table.  Using the critical value approach and α = 0.01, the appropriate conclusion is ________.
A) do not reject the null hypothesis; we cannot conclude not all median annual earnings are equal 
B) reject the null hypothesis; we can conclude not all median annual earnings are equal 
C) reject the null hypothesis; we cannot conclude not all median annual earnings are the equal 
D) do not reject the null hypothesis; we can conclude that not all median annual earnings are equal

Quizplus · Accepted Answer

The Kruskal-Wallis test is used to compare the medians of multiple groups. The null hypothesis states that all groups have the same median. The critical value approach involves comparing the test statistic (H) to a critical value from a table. In this case, with α = 0.01 and 3 groups, the critical value is 11.345. The test statistic in this case is 15.197. Since the test statistic is greater than the critical value, we reject the null hypothesis. Therefore, we can conclude that not all median annual earnings are equal.

A Sports Agent Wants to Understand the Differences in the Annual