Question

20. Economists at USF are researching the problem of absenteeism at U.S. firms. A random sample of 20) 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:

    Relation Shiftwork Good Bad Total

    No 11 22 33 Yes 25 42 67 Total 36 64 100

    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?

    A) E11 = 0.065, E12 = 0.036, E21 = 0.032, E22 = 0.018 B) E11 = 11.88, E12 = 21.12, E21 = 24.12, E22 = 42.88 C) E11 = 36, E12 = 33, E21 = 64, E22 = 67

    D) E11 = 11, E12 = 22, E21 = 25, E22 = 42

Please explain any calculation and equations used

Answer 1