9, If the p-value is less than in a two-tailed test, the null hypothesis should
ID: 1129762 • Letter: 9
Question
9, If the p-value is less than in a two-tailed test, the null hypothesis should not be rejected. a. b. the null hypothesis should be rejected. c. a one-tailed test should be used. d. no conclusion should be reached 10. If the p-value is greater than in a one-tailed test, a. the null hypothesis should not be rejected b.. the null hypothesis should be rejected c, a two-tailed test should be used. d. no conclusion should be reached. For a two-tailed test with a sample size of 40, the null hypothesis will not be rejected at a 5% level of significance if the z-test statistic is a. b. 11. greater than 1.96 between -1.96 and 1.96 less than 1.645 greater than -1.645 12. A two-tailed test is performed at a 5% level of significance. The observed-test sat ste is 1.74. The null hypothesis a. must be rejected b. should not be rejected c. may or may not be rejected, depending on the sample size. 13. The average life expectancy of tires produced by the Whitney Tire Company has been 40,000 miles. Management believes that due to a new production process, the life expectancy of its tires has increased. In order to test the validity of this belief, the correct set of hypotheses is Ho: 40,000 Ho: 240,000 Ho:ps 40,000 Ha:11240,000 Harts 40,000 H," 40,000 b. d. Exhibit (for the following 5 questions) Ho: -50 Ha: > 50 1 49 x=54.8 = 28 Refer to Exhibit above. This test is a (a) lower (b) upper (c) two 14. tail t The test statistic equals a. 0.1714 b. 0.3849 15. d. 1.2Explanation / Answer
9) b is correct
When p value is less than level of significance, data is insufficient and null hypothesis should be rejected.
10) a is correct
If p value is greater than level of significance we fail to reject null hypothesis.
11) b is correct
For n>30, we use z test which is +-1.96 for 5% level of significance. Thus when calculated z test statistic is between -1.96 to 1.96, we fail to reject null hypothesis.
12) b is correct
We do not know the sample size but even if sample size is less than 30, t value at 5% level of significance is greater than 2. So we fail to reject.
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