9.47 Treatment versus Control An experiment was conducted to test the effect of a new drug on a viral infection. The infection was induced in 100 mice, and the mice were randomly split into two groups of 50. The first group, the control group, received no treatment for the infection. 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 0.36 and 0.60, respectively.

a. Is there sufficient evidence to indicate that the drug is effective in treating the viral infection? Use = 0.05.

b. Use a 95% confidence interval to estimate the actual difference in the cure rates for the treated versus the control groups.