習(xí)題:
  Exercise:
  Richard Starr is assigned the task of examining the relevance of the capital asset pricing model by running hypothesis tests on the risk-free rate and the market risk premium. Starr’s supervisor makes the following statement: “For the CAPM to be valid, the mean 1-year Treasury bill rate should equal 4% and the mean market risk premium should be positive.” To examine the claims of his supervisor, identify whether Starr should perform one-tailed or two-tailed tests of these hypotheses.
  Risk-free rate    Market risk premium
  A    One-tailed          One-tailed
  B    One-tailed          Two-tailed
  C    Two-tailed          One-tailed
  D    Two-tailed          Two-tailed
  解析:
  Answer: C
  Explanation: Starr’s supervisor states that “the mean 1-year Treasury bill rate should equal 4%”. This does not state a direction. Similarly, the statement of market risk premium state a direction.
  知識(shí)點(diǎn):
  One-Sided and Two-Sided Hypothesis
  One-tailed test is used when the alternative hypothesis states a direction, such as H1: μ > 0. Here the rejection region is only in one tail.
  Two-tailed test is used when the alternative hypothesis does not state a direction, such as H1: μ ≠ 0. In this occasion, there is a region of rejection in each tail.
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