# Question: Mendenhall and Sincich 1993 present data that can be used

Mendenhall and Sincich (1993) present data that can be used to investigate allegations of gender discrimination in the hiring practices of a particular firm. These data are given in the page margin. In this table, y is a dummy variable that equals 1 if a potential employee was hired and 0 otherwise; x1 is the number of years of education of the potential employee; x2 is the number of years of experience of the potential employee; and x3 is a dummy variable that equals 1 if the potential employee was a male and 0 if the potential employee was a female. If we use the logistic regression model
to analyze these data, we find that the point estimates of the model parameters and their associated p-values (given in parentheses) are b0 = – 14.2483 (.0191), b1 = 1.1549 (.0552), b2 .9098 (.0341), and b3 = 5.6037 (.0313).
a. Consider a potential employee having 4 years of education and 5 years of experience. Find (1) a point estimate of the probability that the potential employee will be hired if the potential employee is a male, and (2) a point estimate of the probability that the potential employee will be hired if the potential employee is a female.
b. (1) Using b3 = 5.6037, find a point estimate of the odds ratio for x3. (2) Interpret this odds ratio. (3) Using the p-value describing the importance of x3, can we conclude that there is strong evidence that gender is related to the probability that a potential employee will be hired?

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