In a study of treatments for very painful "cluster" headaches, 147 patients were treated with oxygen and 160 other patients were given a placebo consisting of ordinary air. Among the 147 patients in the oxygen treatment group, 121 were free from headaches 15 minutes after treatment. Among the 160 patients given the placebo, 33 were free from headaches 15 minutes after treatment. Use a 0.01 significance level to test the claim that the oxygen treatment is effective. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of patients treated with oxygen and the second sample to be the sample of patients given a placebo. What are the null and alternative hypotheses for the hypothesis test? O A Ho P1 = P2 O B. Ho P1 = P2 O C. Ho: P1 # P2 H1 P1 # P2 H1 P1 > P2 H1 P1 = P2 OD. Ho P1 SP2 OE Ho: P1 2 P2 OF HO P1 = P2 Hy P1 # P2 Hy: P1 # P2 H1 P1