Data collected by the Substance Abuse and Mental Health Services Administration (SAMSHA) suggests that 70% of 18-20 year olds consumed alcoholic beverages in any given year.   (a) Suppose a random sample of ten 18-20 year olds is taken. Check if the three conditions are met to use the binomial distribution appropriate for calculating the probability that exactly six consumed alcoholic beverages? Explain.  (b) Now consider a random sample of one hundred 18-20 year olds. How many people would you expect to have consumed alcoholic beverages? And with what standard deviation? (c) What is the probability that among the random sample of one hundred 18-20 year olds, there are 80 or more who have consumed alcoholic beverages?

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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.