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? Use α = 0.01.

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Q: 0.706 1.397 1.860 2.306 2.896 3.355 0.703 1.383 1.833 2.262 2.821 3.250 10 0.700 1.372 1.812 2.228…

A: Introduction: Denote μSAM-e as the true mean SAM-e level in patients with Alzheimer's.

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A: Use Empirical rule to solve it

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.