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A Professional Organization Is Attempting to Determine Whether Salaries of Hospital

Question 59

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.
 Kruskal-Wallis Test  Median n Avg.  Rank 59.00517.20 Group 1 55.30510.40 Group 2 54.1059.10 Group 3 53.2055.30 Group 455.7020 Total 10.565 H (corrected for ties)  3 d.f. .0143 p-value \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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