. The Human Resources Director for a large company is studyingabsenteeism among

Question

. The Human Resources Director for a large company is studyingabsenteeism among hourly workers. A sample of 120 day shiftemployees showed 15 were absent more than five days last year. Asample of 80 afternoon employees showed 18 to be absent five ormore times. At the 0.01 significance level can we conclude thatthere is a higher proportion of absenteeism among afternoonemployees?

        H0:_______________________          
H1: _______________________

        b.   State the decision rule.

        

        c.   Compute the value of the teststatistic.

  

        d.   Compute the p-value.

        

        e.   What is your decision regarding thenull hypothesis?

Explanation / Answer

Null Hypothesis: there is no evidence thatthe higher proportion of absenteeism among afternoonemployees Alternative Hypothesis: There is an evidencethat the higher proportion of absenteeism among afternoonemployees Given information is A sample of 120(n1) dayshift employees showed 15(X1) were absent more than five days lastyear. A sample of 80(n2) afternoon employees showed 18(X2) to beabsent five or more times. sample proportions: p1 = 15/120 = 0.125 p2 = 18/80 = 0.225 THe test statistic is given by

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