2. In a General Social Survey respondents were 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 below shows responses on these two items, classified also by the respondent's gender. Health Opinion Gender Information Opinion Support Oppose Male Support 76 160 Oppose 6 25 Female Support 114 181 Oppose 11 48 (a) (10 points) Input the data into R. (Hint: this is wide format data, but we need a long format data.) (b) (5 points) Fit the model (GH, GI, HI) and test its goodness of fit. (c) (5 points) For this model, estimate the GI conditional odds ratio, construct a 95% confidence interval, and interpret. (d) (5 points) Given the model, test whether G and I are conditionally independent. Do you think the GI term needs to be in the model?