In clinical trials of an allergy medicine, 3303 allergy sufferers were randomly assigned to either a medicine group or a placebo group. It was reported that 50 out of 1653 individuals in the medicine group and 31 out of 1650 individuals in the placebo group experienced dry mouth as a side effect of their respective treatments. Complete parts (a) through (f). IE A. There is a baseline group against which to judge the medicine group. [I B. Fewer people are harmed if the medicine turns out to be harmful. [I C. Money is saved because less of the medicine is used. E] D. Any effect due to psychosomatic behavior is eliminated. (f) Does the sample evidence suggest that the proportion of individuals experiencing dry mouth is greater for those taking the medicine than for those taking a placebo at the a = 0.05 level of signicance? Let the medicine group be sample 1 and let the placebo group be sample 2. Determine the null and alternative hypotheses. Determine the test statistic. The test statistic is 2.12 . (Round to two decimal places as needed.) Determine the P-value. The P-value is 0.017 . (Round to three decimal places as needed.)