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

Question 38

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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:  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

Use the chi-square distribution to determine the rejection region for this test when testing at α=\alpha = 0.050.05 .


A) Reject H0\mathrm { H } _ { 0 } if χ2>3.84146\chi ^ { 2 } > 3.84146
B) Reject H0\mathrm { H } _ { 0 } if χ2>5.02389\chi ^ { 2 } > 5.02389
C) Reject H0\mathrm { H } _ { 0 } if χ2>7.81473\chi ^ { 2 } > 7.81473
D) Reject H0\mathrm { H } _ { 0 } if χ2>5.99147\chi ^ { 2 } > 5.99147

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