An experiment was conducted to test the effect of a new drug on a viral infection. After the infection was induced in 100 mice, the mice were randomly split into two groups of 50. The first group, the control group, received no treatment for the infection, and the second group received the drug. After a 30-day period, the proportions of survivors, 1 and 2, in the two groups were found to be .36 and .60, respectively.
a. Is there sufficient evidence to indicate that the drug is effective in treating the viral infection? Use α = .05.
b. Use a 95% confidence interval to estimate the actual difference in the survival rates for the treated versus the control groups.