The following is a set of hypotheses, some information from one or more samples, and a standard error from a randomization distribution. Test 0 : 1=2 0 : 1 = 2 vs : 1<2 : 1 < 2 when the samples have 1=150 1 = 150 with ^1=0.20 ^ 1 = 0.20 , and 2=120 2 = 120 with ^2=0.23.