Exhibit 20.8.A sports agent wants to understand the differences in the annual earnings of players in different sports.The below table shows the annual earnings (in million dollars)of 52 athletes.For the Kruskal-Wallis test,the rank sums for each group are at the bottom of the table. Refer to Exhibit 20.8.Using the p-value approach and ,the appropriate conclusion is:
A)Reject the null hypothesis,the annual salaries are not the same
B)Reject the null hypothesis,all median annual salaries are the same
C)Reject the null hypothesis,not all median annual salaries are the same
D)Reject the null hypothesis,cannot conclude all median annual salaries are not the same

Question

Exhibit 20.8.A sports agent wants to understand the differences in the annual earnings of players in different sports.The below table shows the annual earnings (in million dollars)of 52 athletes.For the Kruskal-Wallis test,the rank sums for each group are at the bottom of the table.  Refer to Exhibit 20.8.Using the p-value approach and  ,the appropriate conclusion is:
A)Reject the null hypothesis,the annual salaries are not the same 
B)Reject the null hypothesis,all median annual salaries are the same 
C)Reject the null hypothesis,not all median annual salaries are the same 
D)Reject the null hypothesis,cannot conclude all median annual salaries are not the same

Quizplus · Accepted Answer

The p-value is less than 0.05, which means that we reject the null hypothesis. Since there are more than two groups being tested (i.e. different sports), we cannot say that all median salaries are the same. Therefore, we can conclude that not all median annual salaries are the same.