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Use the following information for the next four problems. If a die is fair and balanced...

  1. Use the following information for the next four problems. If a die is fair and balanced then 1/6 (= 0.167) of the rolls should be a four. Suppose that a die is rolled 150 times and 33 fours are seen. Does the sample give enough evidence to conclude that the die is unfair and produces too many fours? Test using the  = 0.05 level of significance.

    Which one of the following gives appropriate null and alternative hypotheses?

    a.

    versus  
    b.

    versus  
    c.

    versus  
    d.

    versus  

  2. Calculate the test statistic.

    a.

    1.567
    b.

    0.816
    c.

    1.740
    d.

    0.22

  3. For this problem only, suppose that the test statistic had equaled 1.63. Which one of the following would give the p-value of the test?

    a.

    0.167
    b.

    0.9484
    c.

    0.22
    d.

    0.0516

  4. For this problem only, suppose that the p-value had equaled 0.03. The decision would be to __________. This means that the sample __________ enough evidence to conclude that the die is unfair and produces too many fours.

    a.

    reject ; does not have
    b.

    not reject ; does not have
    c.

    reject ; does have
    d.

    not reject ; does have
Math   Statistics-And-Probability   
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