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20 February, 21:34

Let the test statistic Z have a standard normal distribution when H0 is true. Give the P-value for each of the following situations. (Round your answers to four decimal places.)

(a) Ha: μ > μ0, z = 1.73 P-value =

(b) Ha: μ < μ0, z = - 2.68 P-value =

(c) Ha: μ ≠ μ0, z = 2.76 or z = - 2.76

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  1. 20 February, 23:47
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    (a) P-value = 0.0418

    (b) P-value = 0.0037

    (c) P-value = 0.0058

    Step-by-step explanation:

    (a) The test is a right one-tailed test because the alternate hypothesis is expressed using greater than.

    Test statistic z = 1.73. Cumulative area of the test statistic = 0.9582

    P-value = 1 - 0.9582 = 0.0418

    (b) The test is a left one-tailed test because the alternate hypothesis is expressed using less than.

    Test statistic z = - 2.68

    Cumulative area of the test statistic = 0.9963

    P-value = 1 - 0.9963 = 0.0037

    (c) The test is a two-tailed test because the alternate hypothesis is expressed using not equal to.

    Test statistic z = + or - 2.76

    Cumulative area of the test statistic = 0.9971

    P-value = 2 (1 - 0.9971) = 2*0.0029 = 0.0058
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