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To test the effectiveness of a new drug designed to relieve pain, 200 patients were randomly...

To test the effectiveness of a new drug designed to relieve pain, 200 patients were randomly selected and divided into two equal groups. One group of 100 patients was given a pill containing the drug, while the other group of 100 was given a placebo. What can we conclude about the effectiveness of the drug if 62 of those actually taking the drug felt a beneficial effect, while 41 of the patients taking the placebo felt a beneficial effect?

A) Make a 90% confidence interval for the proportion of people who experienced pain relief with the drug.

B) Make a 90% confidence interval for the proportion of people who experienced pain relief with the placebo.

C) Can we be 90% confident that the proportions are not the same for the two groups? Explain.

D) Can we use the intervals to make a decision about the effectiveness of the drug? Explain.

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