An experiment was conducted to test the effect of a new drug on a viral infection. The infection was induced in 100 mice where 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, p1 and p2, 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 relative to the control at level = 0.05? (Clearly state all assumptions/theorems and show all your work) (b) Explain why from only the point estimates p1 and p2, without conducting a hypothesis test, that you can claim there is no evidence to suggest that the control is a more effective treatment than the experimental drug