13.57 Graduation, gender, and race The U.S. Bureau of the Census lists college graduation numbers by race and gender.

The table shows the data for graduating 25-year-olds.

College graduation Group Sample Size Graduates White females 31,249 10,781 White males 39,583 10,727 Black females 13,194 2,309 Black males 17,707 2,054 Source: J. J. McArdle and F. Hamagami, J. Amer. Statist.

Assoc., vol. 89 (1994), pp. 1107–1123. Data from U.S. Bureau of the Census, American Community Survey 2005–2007.

a. Identify the response variable.

b. Express the data in the form of a three-variable contingency table that cross-classifies whether graduated 1yes, no2, race, and gender.

c. When we use indicator variables for race 11 = white, 0 = black2 and for gender 11 = female, 0 = male), the coefficients of those predictors in the logistic regression model are 0.975 for race and 0.375 for gender. Based on these estimates, which race and gender combination has the highest estimated probability of graduation? Why?