A large company has 3000 employees. The management has installed coffee machines everywhere in the building. After a while, the management wants to know whether or not the employees are satisfied with the coffee machines. It is decided to draw a simple random sample of 400 employees. It turns out that 300 employees complete the questionnaire form. So there is a nonresponse problem. The sample data is summarized in the following Table. Level of satisfaction Level of education Total Low education High education 10 240 Satisfied Not satisfied 230 60 300 35 25 Total 265 35 a) Compute the response rate? b) Obtain the estimate of the percentage of employees in the company satisfied with the coffee facilities.
A large company has 3000 employees. The management has installed coffee machines everywhere in the building. After a while, the management wants to know whether or not the employees are satisfied with the coffee machines. It is decided to draw a simple random sample of 400 employees. It turns out that 300 employees complete the questionnaire form. So there is a nonresponse problem. The sample data is summarized in the following Table. Level of satisfaction Level of education Total Low education High education 10 240 Satisfied Not satisfied 230 60 300 35 25 Total 265 35 a) Compute the response rate? b) Obtain the estimate of the percentage of employees in the company satisfied with the coffee facilities.
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![A large company has 3000 employees. The management has installed coffee machines everywhere in the building.
After a while, the management wants to know whether or not the employees are satisfied with the coffee machines.
It is decided to draw a simple random sample of 400 employees. It turns out that 300 employees complete the
questionnaire form. So there is a nonresponse problem. The sample data is summarized in the following Table.
Level of satisfaction
Level of education
Total
Low education
High education
Satisfied
230
10
240
Not satisfied
35
25
60
Total
265
35
300
a)
Compute the response rate?
b)
Obtain the estimate of the percentage of employees in the company satisfied with the coffee
facilities.
Previous research has showed that employees with a higher level of education are less satisfied with the coffee
facilities. Among the employees in the company 20% has a high education and 80% has a low education. Thus, a
weighting adjustment procedure is carried out to reduce the nonresponse bias.
c)
d)
facilities.
e) Explain the difference between the weighted and unweighted estimate (obtained in (a) of the percentage
of employee satisfied with coffee machines.
Compute weights for low- and high-educated employees.
Compute the weighted estimate of the percentage of employees in the company satisfied with the coffee](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8a399ca2-ca03-4700-a442-b901b7bf1c54%2F2c28f865-ecd4-4067-9c09-aaae744966ff%2F3r18qe4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A large company has 3000 employees. The management has installed coffee machines everywhere in the building.
After a while, the management wants to know whether or not the employees are satisfied with the coffee machines.
It is decided to draw a simple random sample of 400 employees. It turns out that 300 employees complete the
questionnaire form. So there is a nonresponse problem. The sample data is summarized in the following Table.
Level of satisfaction
Level of education
Total
Low education
High education
Satisfied
230
10
240
Not satisfied
35
25
60
Total
265
35
300
a)
Compute the response rate?
b)
Obtain the estimate of the percentage of employees in the company satisfied with the coffee
facilities.
Previous research has showed that employees with a higher level of education are less satisfied with the coffee
facilities. Among the employees in the company 20% has a high education and 80% has a low education. Thus, a
weighting adjustment procedure is carried out to reduce the nonresponse bias.
c)
d)
facilities.
e) Explain the difference between the weighted and unweighted estimate (obtained in (a) of the percentage
of employee satisfied with coffee machines.
Compute weights for low- and high-educated employees.
Compute the weighted estimate of the percentage of employees in the company satisfied with the coffee
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