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:

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 $\chi ^ { 2 } > 5.02389$
C) Reject $\mathrm { H } _ { 0 }$ if $\chi ^ { 2 } > 7.81473$
D) Reject $\mathrm { H } _ { 0 }$ if $\chi ^ { 2 } > 5.99147$