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Chapter 4: Q 7. (page 226)

Instant opinion A recent online poll posed the question 鈥淪hould female athletes be paid the same as men for the work they do?鈥欌�� In all, 13,147(44%)said 鈥淵es,鈥欌�� 15,182(50%)said 鈥淣o,鈥欌�� and the remaining 1448 said, 鈥淒on鈥檛 know.鈥� In spite of the large sample size for this survey, we can鈥檛 trust the result. Why not?

Short Answer

Expert verified

It is biased in favor of people who feel strongly about the problem being surveyed.

Step by step solution

01

Given information

Female athletes should be paid the same as men for the work they undertake, according to an online poll. In that poll, 13,147 people replied yes (44 percent), 15,182 said no (50 percent), and 1448 indicated they didn't know.

02

Concept

A simple random sample (SRS) of size n is made up of n people chosen from the population with an equal chance of being the sample that is actually chosen.

03

Explanation

This is a voluntary answer sampling online survey. Voluntary response samples draw people who are passionate about the topic, resulting in bias. The sample is biased since it does not represent the entire population; rather, it represents a subset of the population with strong opinions. We can't trust the results since it is biased in favor of people who feel strongly about the problem being surveyed, notwithstanding the high sample size.

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Most popular questions from this chapter

The manager of a sports arena wants to learn more about the financial status of the people who are attending an NBA basketball game. He would like to give a survey to a representative sample of the more than 20,000fans in attendance. Ticket prices for the game vary a great deal: seats near the court cost over \(100each, while seats in the top rows of the arena cost \)25each. The arena is divided into 30numbered sections, from 101to 130Each section has rows of seats labeled with letters from A (nearest the court) to ZZ (top row of the arena).

Explain why it might be difficult to give the survey to an SRS of 200 fans.

Each of the following is a source of error in a sample survey. Label each as sampling error or non sampling error, and explain your answers.

(a) The telephone directory is used as a sampling frame.

(b) The person cannot be contacted in five calls.

(c) Interviewers choose people walking by on the sidewalk to interview.

2. A survey paid for by makers of disposable diapers found that 84% of the sample opposed banning disposable diapers. Here is the actual question:

Student archaeologists An archaeological dig turns up large numbers of pottery shards, broken stone tools, and other artifacts. Students working on the project classify each artifact and assign it a number. The counts in different categories are important for understanding the site, so the project director chooses 2% of the artifacts at random and checks the students鈥� work. Identify the population and the sample.

Sampling stuffed envelopes A large retailer prepares its customers鈥� monthly credit card bills using an automatic machine that folds the bills, stuffs them

into envelopes, and seals the envelopes for mailing. Are the envelopes completely sealed? Inspectors choose 40 envelopes from 1000 stuffed each hour for visual inspection. Identify the population and the sample.

A sampling at the mall You have probably seen the mall interviewer, approaching people passing by with a clipboard in hand. Explain why even a large sample of mall shoppers would not provide a trustworthy estimate of the current unemployment rate.
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