A researcher is comparing the occurrence of nausea as a side-effect in two brands of medication:  Brand A and Brand B.  For a random sample of 150 Brand A users, 66 experienced nausea as a side-effect.  For a random sample of 200 Brand B users, 118 experienced nausea as a side-effect.  Can the researcher conclude that the proportion of all Brand A users who experience nausea as a side-effect is different from the proportion of all Brand B users who experience nausea as a side-effect. For the hypothesis testing scenario above, the researcher concludes that the two proportions are different at the 0.01 significance level.  Compute the 99% confidence interval to estimate the difference.

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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.