A human resource manager is interested in whether absences occur during the week

Question

A human resource manager is interested in whether absences occur during the week with equal
frequency. The manager took a random sample of 98 absences and created the following table:

Based on this sample data, test to see whether absences occur during the week with equal frequency. Use

? = .10, the 5-step procedure, and the p-value approach to conduct the appropriate hypothesis test. If and
only if it is appropriate to do so, clearly and briefly explain where the single largest difference lies between
the observed and expected frequency. Make sure that your interpretation is in the context of the problem. If
it is not appropriate to conduct this analysis, type "N/A" in your answer.

Work DayNumber of Absences Monday Tuesday Wednesday Thursday Friday 28 23 10 18 19 Goodness of Fit Test %ofchisq ?-? 8.400 3.400 9.600 1.600 0.600 0.000 (?-?)2 / E 3.600 0.590 4.702 0.131 0.018 9.041 expected observed 28 23 10 18 19 98 39 19.60 19.60 19.60 19.60 19.60 6 52.01 0.2 100.00 98.000 4 0601 9.04 chi-square df p-value

Explanation / Answer

Ans:

Expected frequency=98/5=19.6

df=5-1=4

Test statistic:

Chi square score=CHIDIST(9.041,4)=0.0601

As,p-value<0.1,we reject the null hypothesis and we can conclude that absences does not occur during the week with equal frequency.

Work Day Observed Expected (O-E)^2/E Monday 28 19.6 3.600 Tuesday 23 19.6 0.590 Wednesday 10 19.6 4.702 Thursday 18 19.6 0.131 Friday 19 19.6 0.018 Total= 98 98 9.041

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