Economists at USF Are Researching the Problem of Absenteeism at U.S

Multiple Choice

Economists at USF are researching the problem of absenteeism at U.S. firms. A random sample of 100 U.S. organizations was selected to participate in a 1-year study. As part of the study, the
Economists had collected data on the following two variables for each company: shiftwork
Available (Yes or No) , and union-management relationship (Good or Poor) . As part of their
Analyses, the economists wanted to determine whether or not a company makes shiftwork
Available depends on the relationship between union and management. The collected data are
Shown below: Relation
$\begin{array} { l c c c } \text { Shiftwork } & \text { Good } & \text { Bad } & \text { Total } \\ \text { No } & 11 & 22 & 33 \\ \text { Yes } & 25 & 42 & 67 \\ \text { Total } & 36 & 64 & 100 \end{array}$
In order to determine whether the shiftwork responses depend on the relationship responses, a two-way chi-square analysis should be conducted. Calculate the value of the test statistic for the desired analysis.

A) $\chi ^ { 2 } = 11.88$
B) $\chi ^ { 2 } = 0.07$
C) $\chi ^ { 2 } = 0.70$
D) $\chi ^ { 2 } = 0.15$