Reference no: EM138118
A researcher was interested in determining whether incentives, and how they were offered, affected the response rate in surveys. A simple random sample of 50 adult residents of a large city was selected. All were mailed a survey. In half of the mailings a check was included as a token of appreciation (in advance) for completing the survey. Five of these checks were for $1.00, five were for $5.00, five were for $10.00, five were for $25.00, and five were for $50.00. In the other half, people were promised a check upon returning a completed survey. Five were promised a check for $1.00, five were promised a check for $5.00, five were promised a check for $10.00, five were promised a check for $25.00, and five were promised a check for $50.00. Which method of payment (check enclosed or check to be sent upon return of a completed survey) and the amount ($1.00, $5.00, $10.00, $25.00, or $50.00) each person received was determined by randomization. For each person who was sent one of the surveys, the researcher recorded whether or not a completed survey was returned.
Let x be the amount of the check (either enclosed or promised) and z be the indicator variable
We wish to fit a logistic regression model
where p is the binomial probability of returning a completed survey, and log is the natural logarithm. The multiple logistic regression output from fitting this model is given below.
A test of the hypotheses H0:β2 = 0 Ha:β2 ≠ 0 has P-value
A. less than 0.05.
B. between 0.05 and 0.10.
C. greater than 0.10.
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Evaluate the confidence interval for the slope
: each person received was determined by randomization. For each person who was sent one of the surveys, the researcher recorded whether or not a completed survey was returned.
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Compare with single versus multiple bidders
: How do the buyer's returns compare with the method of payment, and how do they compare with single versus multiple bidders.
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Net present value index
: Calculate the following: Rate of Return and Calculate the following: Net Present Value Index
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Evaluate the results of the regression equation
: Evaluate the results of the regression equation tells managers and how it is likely to impact decisions made related to maximizing profitability.
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Example on natural logarithm
: where p is the binomial probability of returning a completed survey, and log is the natural logarithm. The multiple logistic regression output from fitting this model is given below.
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Logistic regression model
: A researcher was interested in determining whether incentives affect the response rate in surveys. A simple random sample of 50 adult residents of a large city was selected. All were mailed a survey and promised a check upon returning a completed ..
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Developing a rash and log is the natural logarithm
: Could mud-wrestling be the cause of a rash contracted by University of Washington students in the spring of 1992? Two physicians at the University of Washington health center wondered this when one male and six female students complained of rashes..
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X2 test statistic for testing the hypothesis
: The amount ($1.00, $5.00, $10.00, $25.00, or $50.00) promised to each person was determined by randomization. For each person who was sent one of the surveys, The value of the X2 test statistic for testing the hypothesis
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Example on logistic regression model
: Could mud-wrestling be the cause of a rash contracted by University of Washington students in the spring of 1992? Two physicians at the University of Washington health center wondered this when one male and six female students complained of rashes..
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