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In a study of treatments for very painful​ "cluster" headaches, 147 patients were treated with oxygen...

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 the​placebo, 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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