Concepts. For each of the following situations, state whether you'd use a chi-square goodness-of-fit test, chi- square test of homogeneity, chi-square test of indepen- dence, or some other statistical test.

a) A brokerage firm wants to see whether the type of ac- count a customer has (Silver, Gold, or Platinum) affects the type of trades that customer makes (in person, by phone, or on the Internet). It collects a random sample of trades made for its customers over the past year and performs a test.

c) The academic research office at a large community col- lege wants to see whether the distribution of courses cho- sen (Humanities, Social Science, or Science) is different for its residential and nonresidential students. It assembles last semester's data and performs a test.