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:
In order to determine whether the shiftwork responses depend on the relationship responses, a two-way chi-square analysis should be conducted. When calculating the test statistic, what values for the expected counts should be used in the calculation?
◦ E
11 = 36, E
12 = 33, E
21 = 64, E
22 = 67
◦ E
11 = 11.88, E
12 = 21.12, E
21 = 24.12, E
22 = 42.88
◦ E
11 = 0.065, E
12 = 0.036, E
21 = 0.032, E
22 = 0.018
◦ E
11 = 11, E
12 = 22, E
21 = 25, E
22 = 42
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