2. In U.S.A., the 1988 General Social Survey complied by the National Opinion Research Center asked: Do you support or oppose the following measures to deal with AIDS? (1) Let 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. The following table summarizes opinions about health care costs (H) and the informa- tion program (T), classified also by the respondent's gender (G). Information I-Support Oppose 76 160 25 Female Support114 181 MaleSupport Oppose 6 (a) Test, by hand calculation, the total independence of H. 1, and G at the 5% significance level. Hand calculate the expected frequencies, the degree of freedom, and the p-value under the null hypothesis. (b) Test, using SAS, the group independence between G ad (H, 1) at the 5% signif icance level and report the p-value, Hand calculate the expected frequencies and the degree of freedom under the null hypothesis. (c) Test, using SAS, the conditional independence between H and I given G at the 5% significance level. Hand calculate the expected frequencies, the degree of freedom, and the p-value under the null hypothesis