A researcher would like to determine whether an over-the-counter cold medication has an effect on mental alertness. A sample of n= 25 participants is obtained, and each person is given a standard dose of the medication one hour before being tested in a driving simulation task. For the general population, scores on the simulation task are normally distributed with μ= 75 and σ= 15. The individuals in the sample had an average score of M= 65.5. Can the researcher conclude that scores on the driving simulation task are significantly different after taking the medication? Use a two-tailed test with α = .05. Perform all 4 steps of hypothesis testing

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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.