An article indicates that 80% of millennials (age 18 to 29) have read a book in the last year. Suppose that this is the actual percentage for the population of all millennials. Consider a sample proportion ˆp based on a random sample of 225 millennials. (a) Compute the expected value and variance of ˆp. (b) Use the appropriate theorem and your answer from (a) to conclude what distribution ˆp approximately follows.

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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.