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Chapter 4: Q. 35 (page 240)

A popular website places opinion poll questions next to many of its news stories. Simply

click your response to join the sample. One of the questions was 鈥淒o you plan to diet this

year?鈥� More than 30,000 people responded, with 68% saying 鈥淵es.鈥� Which of the

following is true?

a. About 68% of Americans planned to diet.

b. The poll used a convenience sample, so the results tell us little about the population of

all adults.

c. The poll uses voluntary response, so the results tell us little about the population of all

adults.

d. The sample is too small to draw any conclusion.

e. None of these.

Short Answer

Expert verified

From the given options only option c is true because this poll uses voluntary response.

Step by step solution

01

Given information

We need to find the true statement from the given statements.

02

Explanation for incorrect option(a)

(a) Not true, because the sample is not typical of the total American population because only those with the strongest beliefs actively replied to the poll, and hence the proportion is most likely wrong for the entire population.

03

Explanation for incorrect option(b)

(b) Not true, since convenience sampling selects a subset of the population that is convenient for the sample, which is not the case here.

04

Explanation for correct option(c)

(c) True, because a voluntary response sample is one in which subjects may choose whether or not to participate in the study, and respondents have to willingly answer in this sample.

05

Explanation for incorrect option(d)

(d) Not true, because 30,000persons is a relatively big sample size (not small).

06

Explanation for incorrect option(e)

(e) Not true, because we have established that response choice (c) was correct.

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Most popular questions from this chapter

A simple random sample of 1200 adult Americans is selected, and each person is asked

the following question: 鈥淚n light of the huge national deficit, should the government at this

time spend additional money to send humans to Mars?鈥� Only 39% of those responding

answered 鈥淵es.鈥� This survey

a. is reasonably accurate because it used a large simple random sample.

b. needs to be larger because only about 24 people were drawn from each state.

c. probably understates the percent of people who favor sending humans to Mars.

d. is very inaccurate but neither understates nor overstates the percent of people who favor

sending humans to Mars. Because simple random sampling was used, it is unbiased.

e. probably overstates the percent of people who favor sending humans to Mars.

Kissing the right way According to a newspaper article, 鈥淢ost people are kissing the

鈥榬ight way.鈥欌�� That is, according to a study, the majority of couples prefer to tilt their heads

to the right when kissing. In the study, a researcher observed a random sample of124

kissing couples and found that 8312466.9%of the couples tilted to the right. To

determine if these data provide convincing evidence that couples are more likely to tilt

their heads to the right, 100simulated SRSs were selected.

Each dot in the graph shows the number of couples that tilt to the right in a simulated SRS

of124couples, assuming that each couple has a 50%chance of tilting to the right.

a. Explain how the graph illustrates the concept of sampling variability.

b. Based on the data from the study and the results of the simulation, is there convincing

evidence that couples prefer to kiss the 鈥渞ight way鈥�? Explain your answer.

Initial public offerings (1.3) The business magazine Forbes reports that 4567companies sold their first stock to the public between 1990and 2000. The mean change in the stock price of these companies since the first stock was issued was +111%. The median change was -31%. Explain how this difference could happen.

Explain it to the congresswoman You are on the staff of a member of Congress who is considering a bill that would provide government-sponsored insurance for nursing-home care. You report that 1128 letters have been received on the issue, of which 871 oppose the legislation. 鈥淚鈥檓 surprised that most of my constituents oppose the bill. I thought it would be quite popular,鈥� says the congresswoman. Are you convinced that a majority of the voters oppose the bill? How would you explain the statistical issue to the congresswoman?

Animal testing (1.1) 鈥淚t is right to use animals for medical testing if it might save human lives.鈥� The General Social Survey asked 1152adults to react to this statement. Here is the two-way table of their responses:

Opinion about using animals for medical testing :


MaleFemaleTotal
Strongly agree76
59
135
Agree270
247
517
Neither agree nor disagree87
139
226
Disagree61
123
184
Strongly disagree22
68
90
Total516
636
1152

a. Construct segmented bar graphs to display the distribution of opinion for males and for females. b. Is there an association between gender and opinion for the members of this sample? Explain your answer
See all solutions

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