A coin-operated soft-drink machine is designed to discharge, when it isoperating properly, at least 7 ounces of beverage per cup with a standarddeviation of 0.2 ounce. If a random sample of 16 cupful is selected by astatistician for a consumer testing service and the statistician is willing to takea risk of ? = 0.05 of committing a Type I error, compute the power of the testand the probability of a Type II error (?) if the population average amountdispensed is actuallya) 6.9 ounces per cup.b) 6.8 ounces per cup

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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.