In a study of treatments for very painful "cluster" headaches, 147 patients were treated with oxygen and 148 other patients were given a placebo consisting of ordinary air. Among the 147 patients in the oxygen treatment group, 114 were free from headaches 15 minutes after treatment. Among the148 patients given theplacebo, 23 were free from headaches 15 minutes after treatment. Use a 0.05 significance level to test the claim that oxygen treatment is effective. Complete parts (a) through (c) below.
a. Test the claim using a hypothesis test.
b. Identify the test statistic
c. P-value
d. Confidence interval
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