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 130 employee absences.   The distribution of these 130 absences is shown in the table below. The observed frequency for each category (each weekday) is shown in the first row of numbers. The second row of numbers contains the frequencies expected for a sample of 130 employees if employee absences at the firm are equally likely on each of the five weekdays. The bottom row of numbers contains the following value for each of the categories. Answer the following to summarize the test of the hypothesis that employee absences at this firm are equally likely on each of the five weekdays. Use the  0.10  level of significance for the test.   (a)  Determine the type of test statistic to use. Type of test statistic: ▼(Choose one)   (b)  Find the value of the test statistic. (Round your answer to two or more decimal places.)   (c)  Find the p-value. (Round your answer to three or more decimal places.)   (d)Can we conclude that absences by the firm's employees are more likely on some day(s) of the week than on others?   Yes        No

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ISBN:9781119256830
Author:Amos Gilat
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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 130 employee absences.

 

The distribution of these 130 absences is shown in the table below. The observed frequency for each category (each weekday) is shown in the first row of numbers. The second row of numbers contains the frequencies expected for a sample of 130 employees if employee absences at the firm are equally likely on each of the five weekdays. The bottom row of numbers contains the following value for each of the categories.

Answer the following to summarize the test of the hypothesis that employee absences at this firm are equally likely on each of the five weekdays. Use the 

0.10

 level of significance for the test.

 

(a)  Determine the type of test statistic to use.
Type of test statistic: ▼(Choose one)
 
(b)  Find the value of the test statistic. (Round your answer to two or more decimal places.)
 
(c)  Find the p-value. (Round your answer to three or more decimal places.)
 
(d)Can we conclude that absences by the firm's employees are more likely on some day(s) of the week than on others?
 
Yes 
 
 
 
No
(fo-fE)
Fill in the missing values in the table. Round your responses for the expected frequencies to two or more decimal places. Round your
responses
to three or more decimal places.
Send data to Excel
Monday
Tuesday
Wednesday
Thursday Friday
Total
Observed
frequency
23
24
19
34
30
130
fo
Expected
frequency
26.00
26.00
26.00
fE
0.154
2.462
0.615
fE
Transcribed Image Text:(fo-fE) Fill in the missing values in the table. Round your responses for the expected frequencies to two or more decimal places. Round your responses to three or more decimal places. Send data to Excel Monday Tuesday Wednesday Thursday Friday Total Observed frequency 23 24 19 34 30 130 fo Expected frequency 26.00 26.00 26.00 fE 0.154 2.462 0.615 fE
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