An advertisement for Botox Cosmetic by Allergan, Inc. for treating wrinkles appeared in several magazines. The back page of the ad showed the results of a randomized clinical trial to compare 405 people receiving Botox injections to 130 people receiving placebo in terms of the frequency of various side effects. The side effect of pain in the face was reported by 9 people receiving Botox and 0 people receiving placebo. Use software to conduct a two-sided test of the hypothesis that the probability of this side effect is the same for each group. Report all steps of the test, and interpret results.