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

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: $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$$\text {Relation}$
$\begin{array} { l c c c } \text { Shiftwork } & \text { Good } & \text { Bad } & \text { Total } \\ \text { No } & 11 & 22 & 33 \\ \text { Yes } & 25 & 42 & 67 \\ \text { Total } & 36 & 64 & 100 \end{array}$
Use the chi-square distribution to determine the rejection region for this test when testing at $\alpha = 0.05$ .
A) Reject $\mathrm { H } _ { 0 }$ if $\chi ^ { 2 } > 3.84146$
B) Reject $\mathrm { H } _ { 0 }$ if $\chi ^ { 2 } > 5.99147$
C) Reject $\mathrm { H } _ { 0 }$ if $\chi ^ { 2 } > 5.02389$
D) Reject $\mathrm { H } _ { 0 }$ if $\chi ^ { 2 } > 7.81473$