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Tests Of Significance Quiz 1 (30 MCQs)

Quiz Instructions

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1. A two-tailed test with n = 41 has a test statistic z = 1.56. Which is the correct p-value?
2. The greater the difference between the Ho claim and the true value of the population parameter,
3. This symbol denotes the null hypothesis
4. When making the decision regarding the null hypothesis, we should reject when the p-value is .....
5. This symbol denotes the alternative hypothesis
6. White blood cell counts are normally distributed with mean 7500 and variance 500. If a patient has taken 50 laboratory blood tests that have a mean of 6899.75 and a standard deviation of 393.44, does this give evidence that his white blood cell count is significantly different than normal?
7. To compare 2 dog-training programs, an obedience school trained 43 dogs using Program A and 41 dogs using Program B. For Program A, the average number of training hours required was 24.8 with a standard deviation of 3.1 hours. For Program B, the mean was 22.9 hours with a standard deviation of 3.3 hours. Is there a significant difference between the two programs?
8. When performing a test about the population proportion, what distribution would you need to use?
9. A test of significance produces a P-value of 0.024. Which of the following conclusions is appropriate?
10. USA Today reported that in 1992, 39% of all elementary school children claimed that when they grow up they want to do something to help other people. However, in 1995, 128 of a random sample of 317 of these same children claimed that when they grow up they want to do something to help other people. Does this information indicate that there has been an attitude change either way?
11. The manager of a sporting goods store offered a bonus commission to his salespeople when they sold moregoods. A new manager dropped the bonus system. For a random sample of six sales people, the weeklysales (in thousands of dollars) are shown in the following table with and without the bonus systemSalesperson 1 2 3 4 5 6with bonus 2.9 3.0 5.8 4.4 5.3 5.6w/o bonus 2.8 2.5 5.9 3.5 4.6 4.6difference 0.1 0.5-0.1 0.9 0.7 1.0
12. When performing a test about the population mean, what distribution would you need to use?
13. The manager of a sporting goods store offered a bonus commission to his salespeople when they sold more goods. A new manager dropped the bonus system. For a random sample of six sales, the weeks sales (in thousands of dollars) were 3.7 with the bonus, SD of .15, and 3.3 without the bonus, SD of .21. Does this imply that sales dropped when the bonus system was discontinued?
14. The probability of a type I error is
15. A left-tailed test with n = 41 has a test statistic t =-2.72. Which is the correct p-value?
16. The alpha level is
17. A box of Raspberry Crunch cereal contains a mean of 13 ounces with a standard deviation of 0.5 ounces. The distribution of the contents of cereal boxes is approximately Normal. The cereal company is afraid the boxes being over filled. Suppose they get a random sample of 25 boxes, and find a mean of 13.2 and a standard deviation of 0.154. Does this give evidence that the boxes are being overfilled?
18. In 1975, a random sample of 1484 adult U.S. citizens was surveyed, and 193 strongly agreed with the statement, "People should take care of themselves" . Then, in 1991, a survey of 1013 adult U.S. citizens showed that only 61 strongly agreed with the statement. Does this indicate that the proportion of U.S.adults who strongly agree with the given statement has dropped?
19. Dannon is supposed to put 29.6 grams of fruit in their fruit-flavored yogurt. To see if enough fruit is being placed in cups of fruit-flavored yogurt, a quality inspector measured the amount in 27 containers.She found an average of 28.9 grams of fruit and standard deviation of 2.8 grams. Does this show that there is probably enough yogurt in the cups?
20. A mayor is concerned about the percentage of city residents who express disapproval of his job performance. His political committee pays for a newspaper ad, hoping to keep his disapproval rating below 21%. They will use a follow up poll to assess effectiveness. What are the correct null and alternative hypotheses?
21. Lambeau Field, home of the Green Bay Packers, has a reputation for being favorable to the home team. Is there convincing evidence of this? In the 2008-2010 regular seasons, the Packers were 17-7 at home and 10-14 on the road. What is the alternative hypothesis
22. In performing a hypothesis test where the nullhypothesis is that the $\mu$ = 6.9. A random sample of 16items is selected. It can be assumed that thepopulation is normally distributed at $\alpha$ = .05.After running our significance test, we get a p-value of 0.156.
23. What is it called when something is unlikely to happen by chance alone?
24. Choosing a smaller level of significance, that is a smaller alpha risk, results in:
25. Without using any calculator or tables, determine which of these is a plausible value for the upper critical value for a 93% confidence interval:
26. What is the critical value for a 95% confidence interval for proportions?
27. What is the name of the claim we are trying to find evidence against?
28. You plan to perform a hypothesis test with a level of significance of 0.05. What's the effect on the probability of committing a Type I error if the sample size is increased?
29. About 76% of college professors said that if they could pick a career over again, they would choose to be a professor again. A random sample of 59 college professors in Colorado showed that 47 claim they would choose college teaching again. Does this indicate the proportion of professors in Colorado who would choose the career again is greater than the national rate of 76%? Use a 1% level of significance.
30. The manufacturer of a particular brand of microwave popcorn claims that only 2 percent of its kernels of corn fail to pop. A competitor, believing that the actual percentage is larger, tests 2, 000 kernels and finds that 44 failed to pop. Do these results provide sufficient evidence to support the competitor's belief?
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