A Tescarcher wanted to know whether the inhabitant of a town are interested to pay income tax. There are 10,000 people in the town. A random sample of 3,500 people are selected, but 2,500 people provided responses. Suppose the fixed response model applies and the sample data is summarized in the following Table. Interested to pay tax Response Yes Yes No 2,000 500 No 600 400 Compute the percentage of people interested in paying tax. Compute the value of the contrast K. Compute the bias of the estimator ( B(ỹR)). If the relative bias B(y)/S(y,)= 1.25, find the confidence level P(Y e IR) of the 95% confidence interval for the mean of the response group. Interpret the results. d)

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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A researcher wanted to know whether the inhabitant of a town are interested to pay income tax. There are 10,000
people in the town. A random sample of 3,500 people are selected, but 2,500 people provided responses. Suppose
the fixed response model applies and the sample data is summarized in the following Table.
Interested to pay tax
Response
Yes
No
Yes
2,000
500
No
600
400
Compute the percentage of people interested in paying tax.
Compute the value of the contrast K.
Compute the bias of the estimator ( B(ỹ)).
If the relative bias B(y)/S(y,)= 1.25, find the confidence level P(Y eIR) of the 95%
confidence interval for the mean of the response group. Interpret the results.
d)
Transcribed Image Text:A researcher wanted to know whether the inhabitant of a town are interested to pay income tax. There are 10,000 people in the town. A random sample of 3,500 people are selected, but 2,500 people provided responses. Suppose the fixed response model applies and the sample data is summarized in the following Table. Interested to pay tax Response Yes No Yes 2,000 500 No 600 400 Compute the percentage of people interested in paying tax. Compute the value of the contrast K. Compute the bias of the estimator ( B(ỹ)). If the relative bias B(y)/S(y,)= 1.25, find the confidence level P(Y eIR) of the 95% confidence interval for the mean of the response group. Interpret the results. d)
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