Members of the We-Luv-Plants club are interested incomparing the tendency of males vs. females to choosea vegetarian diet. They randomly sampled 75 males and75 females at their school. The data showed that 23 of thegirls were vegetarians whereas only 12 of the boys couldstay away from a tasty burger.a) Construct and interpret a 95% confidence interval forthe difference in the proportions between girls andboys who are vegetarians.b) Does this confidence interval provide evidence thatgirls are more likely than boys to choose a vegetariandiet? Explain.c) To what population(s) do your conclusions in parts aand b apply?

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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.