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

150

employee absences.

The distribution of these

150

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  

150

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

0.10

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.

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Table 1: Information about the Sample Weekday Monday Tuesday Wednesday Thursday Friday Total ObservedfreqfO 39 22 22 28 39 150 ExpectedfreqfE 30.00 30.00 30.00 −fOfE2fE 2.133 2.133 0.133 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 0.10 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 0.10 level of significance. Yes No

Answer 1

Amsweety Date:) 22/4/2020 Weekday Monday 39 30.12 217 22 2.1333 82 30 2.1833 Tuesday wednesday “ถุงsley foliday 28 30 0.1333 287 sum 150 150 19,8 l Expected value is same ty euary cell=30 Here we will use CHI SQUARE STATISTIC Test statistic X² = 908 T o df = (5-1) = 4 Helle contial vale 82 (df =4, 0.60) = 7.7794 So here we can conclude that absences by the forms employees are more likely on some days(s) of the week tham on others. Ansoor is true heure.