Question

Does it seem to you that people tend to be absent more on some days of the week than on others? Recently, a major biotechnology firm collected data with the hope of determining whether or not its employees were more likely to be absent (due to personal reasons or illness) on some weekdays than on others. The firm examined a random sample of

100

employee absences.

The distribution of these

100

absences is shown in Table 1 below. The observed frequencies for each category (each weekday) are shown in the first row of numbers in Table 1. The second row of numbers contains the frequencies expected for a sample of

100

employees if employee absences at the firm are equally likely on each of the five weekdays. The bottom row of numbers in Table 1 contains the values

−fOfE2
fE

for each of the categories.

Fill in the missing values of Table 1. Then, using the

0.05

level of significance, perform a test of the hypothesis that employee absences at this firm are equally likely on each of the five weekdays. Then complete Table 2.

Round your responses for the expected frequencies in Table 1 to at least two decimal places. Round your

−fOfE2fE

responses in Table 1 to at least three decimal places. Round your responses in Table 2 as specified.

	Monday	Tuesday	Wednesday	Thursday	Friday	Total
ObservedfreqfO	19	17	10	31	23	100
ExpectedfreqfE		20.00		20.00	20.00
−fOfE2fE		0.450		6.050	0.450
Table 2: Summary of the Hypothesis Test
The type of test statistic:			(Choose one)ZtChi squareF
The value of the test statistic: (Round your answer to at least two decimal places.)
The critical value for a test at the 0.05 level of significance: (Round your answer to at least two decimal places.)
Can we conclude that absences by the firm's employees are more likely on some day(s) of the week than on others? Use the 0.05 level of significance.

Answer 1