X2 test statistic for testing the hypothesis

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Reference no: EM138115

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 survey. Ten were promised a check for $1.00, 10 were promised a check for $5.00, 10 were promised a check for $10.00, 10 were promised a check for $25.00, and 10 were promised a check for $50.00. 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 researcher recorded whether or not a completed survey was returned.
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 model was fit using statistical software and the results are given below.

The value of the X2 test statistic for testing the hypothesis H0: β1 = 0 is

A. 0.0516.
B. 2.6061.
C. 6.7916.

Reference no: EM138115

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