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# Hypothesis testing : Multiple choice questions

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In chronological order, state the 5 steps of the standard procedure for hypothesis testing:
1.
2.
3.
4.
5.
Except as directed, check the single best answer.
6. Which of the following could be a valid null hypotheses?
A. &#956; &#8805; 27.9 B. &#956; < 27.9
7. Which of the following can be rejected by a statistical test?
A. Null hypothesis B. Alternate hypothesis
8. If sample size is 20, which can be used to test a hypothesis about the mean?
A. Z B. t C. Either
9. If sample size is 30, which can be used to test a hypothesis about the mean?
A. Z B. t C. Either
10. The level of significance is the probability of:
A. Rejecting a true null hypothesis B. Accepting a false null hypothesis
11. The probability of Type I error is denoted by which Greek letter?
A. &#956; B. &#963; C. &#945; D. &#946;
12. Which kind of test is made for the null hypothesis "&#956; = 27.9"?
____ A. One-tailed test ____ B. Two-tailed test
13. In a two-tailed test, using Z as test statistic, if the significance level is 0.05, how much probability is in each of the two tails?
A. 1.0% B. 2.5% C. 5.0% D. 7.5%
We sample 100 light bulbs from a manufacturing plant to test the null hypothesis that the mean is 1,200 hours, using a significance level of 0.05. The sample average is 1,150 hours and the standard deviation is 500 hours.
14. What is the null hypothesis?
A. &#956; = 1,200 hrs B. &#956; &#8800; 1,200 hrs C. &#956; < 1,200 hrs D. &#956; > 1,200 hrs
15. What is the alternate hypothesis?
A. &#956; = 1,200 hrs B. &#956; &#8800; 1,200 hrs C. &#956; < 1,200 hrs D. &#956; > 1,200 hrs
16. What is the value of &#945;?
A. 0.010 B. 0.025 C. 0.050 D. Unknown
17. Which statistic can properly be used in this hypothesis test?
A. Z B. t C. Either D. Neither
18. What are the approximate critical values of the test statistic? Indicate two values.
A. -3.0 B. -2.0 C. -1.0 D. +1.0 E. +2.0 F. +3.0
19. What is the value of the test statistic computed from the sample's descriptive statistics?
A. -3.0 B. -2.0 C. -1.0 D. +1.0 E. +2.0 F. +3.0
20. Is the null hypothesis rejected?
A. Yes B. No