A Professional Organization Is Attempting to Determine Whether Salaries of Hospital

question 45

Multiple Choice

A professional organization is attempting to determine whether salaries of hospital CFO s differ by geographical region. Five hospital CFOs were randomly selected from each of the following four regions: Maritimes, Quebec, Ontario, and Western Canada. Each CFO was then asked their annual salary. The distributions of salaries were highly skewed. The table below summarizes the results of the Kruskal-Wallis test obtained from Mega-Stat/Excel.
$$\begin{array}{l}\text { Kruskal-Wallis Test }\\\begin{array} { c c c } \hline \text { Median } & n & \begin{array} { c } \text { Avg. } \\\text { Rank }\end{array} \\\hline 59.00 & 5 & 17.20 \text { Group 1 } \\55.30 & 5 & 10.40 \text { Group 2 } \\54.10 & 5 & 9.10 \text { Group 3 } \\53.20 & 5 & 5.30 \text { Group } 4 \\\hline 55.70 & 20 & \text { Total } \\\hline & & 10.565 \text { H (corrected for ties) } \\& & 3 \text { d.f. } \\& & .0143 \text { p-value }\end{array}\end{array}$$
-At a significance level of .05,which one of the following statements is correct regarding the null hypothesis H₀: The distributions of CFO salaries are identical for all four regions?

• A)We reject H₀ and conclude there is very strong evidence that the distributions of CFO salaries differ in location for all four regions.
• B)We failed to reject H₀ and conclude there is not sufficient evidence that the distributions of CFO salaries differ significantly in location any of the four regions.
• C)We failed to reject H₀ and conclude there is only adequate evidence that the median hospital CFO salaries differ between at least two of the four regions.
• D)We reject H₀ and conclude there is strong evidence that the distributions of CFO salaries differ in location between at least two of the four regions.
• E)We failed to reject H₀ and conclude that the distributions of CFO salaries are identical for all four regions.

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