# Frequency Hypothesis Test

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Frequency Hypothesis Test

#4) 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 140 employee absences.

The distribution of these 140 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 140 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

= (Observed frequency - Expected frequency)2

Expected frequency

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

Week Day

Monday Tuesday Wednesday Thursday Friday TOTAL

Observed Freq. 35 17 27 28 33

Expected Freq.

??? 28 ??? 28 28 40

??? 4.321 ??? 0 0.893

The type of the test statistic is:

a.) Z

b.) t

c.) Chi Square

d.) F

The value of the test statistic is (round your answer to at least two decimal points.)???

Can we conclude that the absences' by the firm's employees are more likely on some day(s) than others? Use the 0.05 level of significance. Yes or no?

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#### Solution Summary

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 140 employee absences.