Let the test statistic Z have a standard normal distribution when Ho is true. Gi

Question

Let the test statistic Z have a standard normal distribution when Ho is true. Give the significance level for each of the following situations. (Give answers accurate to 4 decimal places.) (a) Ha: ? > ?o, rejection region z ? 1.8 (b) Ha: ? < ?o, rejection region z -2.71 (c) Ha: ? ? ?o, rejection region z ? 2.72 or z -2.72

Explanation / Answer

(a) Ha: µ > µo, rejection region z = 1.8 The significance level = 0.04 (check standard normal table) ------------------------------------------------------------------------------------ (b) Ha: µ < µo, rejection region z -2.71 The significance level = 0.003 (check standard normal table) ------------------------------------------------------------------------------------- (c) Ha: µ ? µo, rejection region z = 2.72 or z -2.72 The significance level = 0.006 (check standard normal table)

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