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5. A study was performed to test the effectiveness of a new treatment for migraines. There were 125 patients in the study. Of these, 60

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5. A study was performed to test the effectiveness of a new treatment for migraines. There were 125 patients in the study. Of these, 60 were randomly assigned to receive the standard treatment and 65 to receive the new treatment. All were instructed to take the medication at the onset of their next migraine and to notice if the pain of their migraine felt reduced after half an hour. Fifty patients receiving the new treatment reported reduced pain, compared with only 45 of the patients receiving the standard treatment. The results seem to favor the new treatment, but could the difference just be due to chance? Carry out all the steps of a hypothesis test and state your conclusion in the context of the motivating question for the study

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