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A standard medicine is known to cure a patient in 85% of cases. A new medicine is proposed as being proposed as being superior to

A standard medicine is known to cure a patient in 85% of cases. A new medicine is proposed as being proposed as being superior to the standard medicine. We plan to give this new medicine to 2000 people. Use a Type I error of 1%, how many of these 2,000 need to be cured before we will accept that the new medicine is indeed superior to the standard one? (That is, what is the critical value?) What is the P-value if, after the trial, 1741 people were cured?

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