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Chapter 7: Q.24 (page 431)

Increasing the sample size of an opinion poll will

(a) reduce the bias of the poll result.

(b) reduce the variability of the poll result.

(c) reduce the effect of nonresponse on the poll.

(d) reduce the variability of opinions.

(e) all of the above.

Short Answer

Expert verified

A correct answer is an option (b) to reduce the variability of opinions.

Step by step solution

01

Given Information

Increasing the sample size of an opinion poll.

02

Explanation

A larger sample size results in more information about the population and thus better estimates of the population.

If we have better estimates of the population, then we also know that there is less variability.

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Most popular questions from this chapter

IQ tests The Wechsler Adult Intelligence Scale (WAIS) is a common "IQ test" for adults. The distribution of WAIS scores for persons over 16years of age is approximately Normal with mean 100 and standard deviation 15.

(a) What is the probability that a randomly chosen individual has a WAIS score of 105 or higher? Show your work.

(b) Find the mean and standard deviation of the sampling distribution of the average WAIS score x炉 for an SRS of 60 people.

(c) What is the probability that the average WAIS score of an SRS of 60 people is 105 or higher? Show your work.

(d) Would your answers to any of parts (a), (b), or (c) be affected if the distribution of WAIS scores in the adult population were distinctly non-Normal? Explain.

IRS audits The Internal Revenue Service plans to examine an SRS of individual federal income tax returns from each state. One variable of interest is the proportion of returns claiming itemized deductions. The total number of tax returns in each state varies from over 15 million in California to about 240,000in Wyoming.

(a) Will the sampling variability of the sample proportion change from state to state if an SRS of 2000tax returns is selected in each state? Explain your answer.

(b) Will the sampling variability of the sample proportion change from state to state if an SRS of 1%of all tax returns is selected in each state? Explain your answer

The histogram above left shows the intervals (in minutes) between eruptions of the Old Faithful geyser for all 222recorded eruptions during a particular month. For this population, the median is 75minutes. We used Fathom software to take 500SRSs of size 10from the population. The 500values of the sample median are displayed in the histogram above right. The mean of the 500sample median values is 73.5.

Suppose we had taken samples of size 20instead of size 10. Would the spread of the sampling distribution be larger, smaller, or about the same? Justify your answer

The student newspaper at a large university asks an SRS of 250undergraduates, 鈥淒o you favor eliminating the carnival from the term-end celebration?鈥� All in all, 150of the 250are in favor. Suppose that (unknown to you) 55%of all undergraduates favor eliminating the carnival. If you took a very large number of SRSs of size n=250from this population, the sampling distribution of the sample proportion P鈭�would be

(a) exactly Normal with mean 0.55and standard deviation of 0.03

(b) approximately Normal with mean 0.55and standard deviation 0.03.

(c) exactly Normal with mean 0.60and standard deviation 0.03.

(d) approximately Normal with mean 0.60and standard deviation 0.03.

(e) heavily skewed with mean 0.55and standard deviation 0.03.

The magazine Sports Illustrated asked a random sample of 750Division I college athletes, 鈥淒o you believe performance-enhancing drugs are a problem in college sports?鈥� Suppose that 30%of all Division I athletes think that these drugs are a problem. Let p^be the sample proportion who say that these drugs are a problem.

The sampling distribution of p^has mean

(a) 225.

(b) 0.30.

(c) 0.017.

(d) 0.

(e) none of these.
See all solutions

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