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:

$\begin{array}{l}\begin{array}{lccc}&\text { Relation }\\\text { Shiftwork } & \text { Good } & \text { Bad } & \text { Total } \\\text { No } & 11 & 22 & 33 \\\text { Yes } & 25 & 42 & 67 \\\text { Total } & 36 & 64 & 100\end{array}\end{array}$

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