Choosing a Test and Giving the Hypothesis
Give the null and alternative hypothesis for each test, and state whether a one proportion z-test or a two-proportion z-test would be appropriate.
a. You test a random sample of eighth-grade students who play daily for 3 hours and devote the same time to homework, comparing boys and girls.
b. You test a person to see whether she can tell butter on bread from margarine spread on bread. You give her 20 toast bits selected randomly (half with butter and half with margarine) and record the proportion she gets correct to test the hypothesis.