A professional organization is attempting to determine whether salaries of hospital CFOs differ by geographical region.Five hospital CFOs were randomly selected from each of the following four regions of the United States: East,Midwest,South,and West.Each CFO was then asked his or her annual salary.The salary distributions were highly skewed.The table below summarizes the results of the Kruskal-Wallis test obtained from MegaStat/Excel. $\begin{array}{l}\text { Kruskal-Wallis Test }\\\begin{array} { c c c } \hline \text { Median } & n & \begin{array} { c } \text { Avg. } \\\text { Rank }\end{array} \\\hline 59.00 & 5 & 17.20 \text { Group 1 } \\55.30 & 5 & 10.40 \text { Group 2 } \\54.10 & 5 & 9.10 \text { Group } 3 \\53.20 & 5 & 5.30 \text { Group } 4 \\\hline 55.70 & 20 & \text { Total } \\\hline & & 10.565 \mathrm { H } \text { (corrected for ties) } \\&&3 \text { df. } \\& & .0143 \text { p-value }\end{array}\end{array}$
At a significance level of .05,the rejection point condition for the hypothesis test is:

Question

A professional organization is attempting to determine whether salaries of hospital CFOs differ by geographical region.Five hospital CFOs were randomly selected from each of the following four regions of the United States: East,Midwest,South,and West.Each CFO was then asked his or her annual salary.The salary distributions were highly skewed.The table below summarizes the results of the Kruskal-Wallis test obtained from MegaStat/Excel.

\begin{array}{l}\text { Kruskal-Wallis Test }\\\begin{array} { c c c } \hline \text { Median } & n & \begin{array} { c } \text { Avg. } \\\text { Rank }\end{array} \\\hline 59.00 & 5 & 17.20 \text { Group 1 } \\55.30 & 5 & 10.40 \text { Group 2 } \\54.10 & 5 & 9.10 \text { Group } 3 \\53.20 & 5 & 5.30 \text { Group } 4 \\\hline 55.70 & 20 & \text { Total } \\\hline & & 10.565 \mathrm { H } \text { (corrected for ties) } \\&&3 \text { df. } \\& & .0143 \text { p-value }\end{array}\end{array}

At a significance level of .05,the rejection point condition for the hypothesis test is:

Quizplus · Accepted Answer

The Kruskal-Wallis test is a non-parametric test used to compare more than two independent groups. The null hypothesis for the test is that there is no difference in the medians of the groups. The rejection point for the hypothesis test is calculated using the Chi-square distribution.

In this case, the p-value obtained from the test is 0.0143 which is less than the significance level of 0.05. Therefore, we reject the null hypothesis and conclude that there is a significant difference in the median salaries of hospital CFOs in different regions of the United States.

The rejection point is calculated as follows:

χ2 > 7.81473

Therefore, the answer is (C).

A Professional Organization Is Attempting to Determine Whether Salaries of Hospital