Skills Check

Skills Check

Question 7.1

1. An opinion poll contacts 1021 adults and asks them, “Which political party do you think has better ideas for leading the country in the 21st century?” In all, 723 of the 1021 say “the Democrats.” The sample in this setting is

  1. all 220 million adults in the United States.
  2. the 1021 people interviewed.
  3. the 723 people who chose the Democrats.

1.

b

Question 7.2

2. In a part-to-whole relationship, we would say the population is the _________.

2.

whole

Question 7.3

3. A committee on community relations in a college town plans to survey local businesses about the importance of students as customers. From the 10,000 businesses listed in the telephone book, the committee chooses 150 businesses at random. Of these, 72 return the questionnaire mailed by the committee. The sample is

  1. all 10,000 businesses in the college town.
  2. the 150 businesses chosen.
  3. the 72 businesses that returned the questionnaire.

3.

c

Question 7.4

4. A call-in poll asks who people are planning to vote for in the next presidential election. People who believe major change is needed are likely to be represented in this poll ________ than they should be, if the goal is to get results that are representative of all voters.

4.

more

Question 7.5

5. On January 2, 2008, the American Idol website (www.americanidol.com) conducted an online poll that asked respondents which contestant they liked best among six former contestants. To become part of the sample, respondents simply clicked on a response. Of the 941,434 responses to this poll, 55% voted for Clay Aiken. We can conclude that

  1. most Americans preferred Clay Aiken out of those six contestants.
  2. the sample was too small a fraction of the millions of people who watched the TV show to draw any conclusion.
  3. the poll used voluntary response, so the results tell us little about the population of all adults.

5.

c

Question 7.6

6. A sample consisting of people who chose to have their opinions be part of a poll is a __________ sample.

6.

voluntary response

Question 7.7

7. If we use the range of a sample to estimate the range of a population, our estimate would likely be

  1. a bit too high.
  2. a bit too low.
  3. unbiased and right on target.

7.

b

Question 7.8

8. You are using the table of random digits to choose a simple random sample of 6 students from a class of 30 students. You label the students 01 to 30 in alphabetical order. Go to line 113 of Table 7.1 (page 298). Of the labels corresponding to the six students selected for your sample, the label that is largest is _________.

8.

25

Question 7.9

9. You must choose an SRS of 10 of the 420 retail outlets in New York that sell your company’s products. How would you label this population to use Table 7.1 (page 298)?

  1. 001, 002, 003, …, 419, 420
  2. 000, 001, 002, …, 419, 420
  3. 1, 2, 3, …, 419, 420

9.

a

Question 7.10

10. From an alphabetical list of the 7200 salaried employees of a corporation, you label the employees 0001 to 7200. Using line 111 of Table 7.1 (page 298), choose an SRS of 5 of the 7200 employees. Of the five employees selected for your sample, the label that is the largest is ________.

10.

6694

Question 7.11

11. Which of these is more likely to occur when selecting a sequence of three digits from a very large table of random digits?

  1. 123
  2. 111
  3. The above sequences are equally likely.

11.

c

Question 7.12

12. There are _________ possibilities for each digit drawn from a table of random digits.

12.

10

Question 7.13

13. A sample of households in a community is selected at random from the telephone directory. In this community, 4% of households have no telephone and another 35% have unlisted telephone numbers. The sample will certainly suffer from

  1. nonresponse.
  2. undercoverage.
  3. false responses.

13.

b

Question 7.14

14. For the survey in Skills Check 3, the nonresponse rate is _________.

14.

52%

Question 7.15

15. Nonresponse is a type of

  1. coverage.
  2. sample.
  3. bias.

15.

c

Question 7.16

16. In research about the population of a county with 100,000 inhabitants, a sample of 3000 households was selected to be interviewed. For 1200 of the 3000 households that researchers attempted to contact, there was no one home willing to participate. For this survey, the nonresponse rate was ________.

16.

40%

328

Question 7.17

17. A clinical trial compares an antidepression medicine with a placebo for relief of chronic headaches. There are 36 headache patients available to serve as subjects. To choose 18 patients to receive the medicine, you would

  1. assign labels 01 to 36 and use Table 7.1 to choose 18.
  2. assign labels 01 to 18 because only 18 need to be chosen.
  3. assign the first 18 who signed up to get the medicine.

17.

a

Question 7.18

18. An experiment is designed to see if a treatment is the __________ of the response.

18.

cause

Question 7.19

19. A comparative experiment

  1. does not use a treatment.
  2. has two or more groups.
  3. is statistically significant.

19.

b

Question 7.20

20. A study of cell phones and the associated risk of brain cancer looked at a group of 519 people who have brain cancer. The investigators matched each cancer patient with a person of the same sex, age, and race who did not have brain cancer, then asked about their use of cell phones. This kind of study is known as __________.

20.

an observational study

Question 7.21

21. Studies that follow subjects forward in time are called

  1. retrospective.
  2. prospective.
  3. double-blind.

21.

b

Question 7.22

22. A treatment consisting of a “dummy pill” that looks like real medicine (but isn’t) is known as a _________.

22.

placebo

Question 7.23

23. A study of religious practices among college students interviewed a sample of 125 students; 105 of the students said that they prayed at least once in a while. What is the sample proportion who said they pray?

  1. 105
  2. 84
  3. 0.84

23.

c

Question 7.24

24. Suppose that 35% of all adults in a population would say “good” and 65% would say “bad” if they were asked how they view the state of the economy. An opinion poll asks this question of an SRS of 1000 adults from the population. In repeated samples, the sample proportion who say “good” would follow a normal distribution, with the mean having a value of __________________.

24.

0.35

Question 7.25

25. Referring to Skills Check 24, the standard deviation of the distribution of the sample proportion of adults who view the economy as “good” is about

  1. 0.00023.
  2. 0.015.
  3. 0.03.

25.

b

Question 7.26

26. Referring to Skills Check 24, the standard deviation of the distribution of the sample proportion of all adults who view the economy as “bad” is _________.

26.

0.015

Question 7.27

27. The sample survey in Skills Check 23 actually called 150 students, but 25 of the students refused to say whether they pray. This nonresponse could cause the survey result to be in error. The error due to nonresponse

  1. is in addition to the margin of error.
  2. is included in the margin of error.
  3. can be ignored because it isn’t random.

27.

a

Question 7.28

28. To the nearer half of a percentage point, the margin of error for a 95% confidence interval is __________ when we use the result of Skills Check 23 to estimate what percentage of all college students pray.

28.

0.065 (or 6.5%)

Question 7.29

29. A survey of folk music fans yields this 95% confidence interval estimate of the proportion of fans who love the music of David Wilcox: 0.74 to 0.86. The estimated mean percentage of fans who love Wilcox’s music must be about

  1. 95%.
  2. 86%.
  3. 80%.

29.

c

Question 7.30

30. To the nearer percentage point, the margin of error for the survey in Skills Check 29 is _________.

30.

0.06 (or 6%)