Many observers have claimed that millennials are more interested in astrology than members of Generation X. Imagine that you were conducting a two-sample test that would examine this claim, using random samples of millennials and Generation X-ers.

a. What is the independent variable, and what are its categories?

b. What is the dependent variable? Propose a way of measuring the dependent variable so that you would conduct a test for difference in proportion.
Propose a way of measuring the dependent variable so that you would conduct a test for difference in mean.

c. Would you conduct a one-tailed or two-tailed test?

d. Imagine that you conducted a one-tailed test. State the null and alternative hypotheses for this test.

e. Imagine that you were invited to discuss the results of your test on a panel called “Astrology in an Age of Uncertainty.” If the audience consisted mostly of people who are unfamiliar with statistics, would you opt to discuss the difference between millennials’ and Generation X-ers’ interest in astrology in terms of a two-sample hypothesis test or a confidence interval of the difference? Explain why you would make this choice.