40. 1971 Military Draft. Criticism of the 1970 draft lottery led the U.S. Selective Service Bureau to focus on making sure that the 1971 draft lottery was truly random. Were their efforts successful? The results of the 1971 draft lottery are shown here (365 days). The Selective Service reports that all birth dates with a rank of 125 or less were chosen for the draft. Perform a test for homogeneity of proportions to determine whether the population proportions of “drafted dates” per month were all equal, using level of significance .