The 1988 General Social Survey compiled by the National Opinion Research Center asked: ‘‘Do you support or oppose the following measures to deal with AIDS? (1. Have the government pay all of the health care costs of AIDS patients; (2. Develop a government information program to promote safe sex practices, such as the use of condoms.’’ Table 8.16 summarizes opinions about health care costs (H. and the information program (I., classified also by the respondent’s gender (G..
a. Fit loglinear models(GH, GI),(GH, HI),(GI, HI), and(GH, GI, HI). Show that models that lack the HI term fit poorly.
b. For model(GH, GI, HI), show that 95% Wald confidence intervals equal(0.55, 1.10)for the GH conditional odds ratio and(0.99, 2.55) for the GI conditional odds ratio. Interpret. Is it plausible that gender has no effect on opinion for these issues?
TABLE 8.16 Data for Problem