Question

5. In a test of hypotheses ?0: μ = 98.6 versus ?1 : μ > 98.6, the rejection region is the interval [2.306,∞), the value of the sample mean computed from a sample of size 9 is ?̅= 99.7, and the value of the test statistic is t = 2.118. The correct decision and justification are: (a) Do not reject ?0 because the sample is small. (b) Do not reject ?0 because 2.118 < 2.306. (c) Reject ?0 because 99.7 is larger than 98.6. (d) Reject ?0 because 99.7 is larger than 2.118. (e) Reject ?0 because 2.118 lies in the rejection region.

6. In the test of hypotheses ?0 : μ = 120 versus ?1 : μ ≠ 120 at the 1% level of significance, when the sample size is 38 and ? is unknown. the rejection region will be the interval or union of intervals: (a) [2.431, ∞) (b) (−∞, −2.576] ∪[2.576, ∞) (c) [2.429, ∞) (d) (−∞, −2.429] ∪ [2.429, ∞) (e) (−∞, −2.715] ∪ [2.715, ∞)

Problems 7 and 8 pertain to the following situation. In a survey of 1250 people it was found that 733 favor increased federal regulation of the financial sector.

7. The setup of the null and alternative hypotheses to test whether there is sufficient evidence to conclude that a majority of people (i.e., more than 50%) favor increased regulation is: (a) ?0 : p = .50 vs. ?1 : p > .59 (b) ?0 : p = .50 vs. ?1 : p < .50 (c) ?0 : p = .50 vs. ?1 : p ≠.50 (d) ?0 : p = .59 vs. ?1 : p ≠.59 (e) ?0 : p = .50 vs. ?1 : p > .50

8. The value of the test statistic is: (a) 6.109 (b) 3.054 (c) 1.932 (d) 6.203 (e) .586

Answer 1

7)

8)

Test statistics = 6.109