Which test? For each of the following situations, statewhether you’d use a chi-square goodness-of-fit test,a chi-square test of homogeneity, a chi-square test ofindependence, or some other statistical test:a) A brokerage firm wants to see whether the type ofaccount a customer has (Silver, Gold, or Platinum) affects the type of trades that customer makes (in per-son, by phone, or on the Internet). It collects a random sample of trades made for its customers over the pastyear and performs a test.b) That brokerage firm also wants to know if the type ofaccount affects the size of the account (in dollars). Itperforms a test to see if the mean size of the account isthe same for the three account types.c) The academic research office at a large communitycollege wants to see whether the distribution ofcourses chosen (Humanities, Social Science, or Science) is different for its residential and nonresi-dential students. It assembles last semester’s data and performs a test.

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Which test? For each of the following situations, state
whether you’d use a chi-square goodness-of-fit test,
a chi-square test of homogeneity, a chi-square test of
independence, or some other statistical test:
a) A brokerage firm wants to see whether the type of
account a customer has (Silver, Gold, or Platinum)
affects the type of trades that customer makes (in per-
son, 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.
b) That brokerage firm also wants to know if the type of
account affects the size of the account (in dollars). It
performs a test to see if the mean size of the account is
the same for the three account types.
c) The academic research office at a large community
college wants to see whether the distribution of
courses chosen (Humanities, Social Science, or
Science) is different for its residential and nonresi-
dential students. It assembles last semester’s data and
performs a test.
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