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Multiple choice: Campaign funding When the Yankelovich polling organization asked, "Should laws be passed to eliminate all possibilities of special interests giving huge sums of money to candidates?" \(80 \%\) of the sample answered yes. When they posed the question, "Should laws be passed to prohibit interest groups from contributing to campaigns, or do groups have a right to contribute to the candidate they support?" only \(40 \%\) said yes (Source: A Mathematician Reads the Newspaper, by J. A. Paulos, New York: Basic Books, \(1995,\) p. 15). This example illustrates problems that can be caused by a. Nonresponse b. Bias in the way a question is worded c. Sampling bias d. Undercoverage

Short Answer

Expert verified
The problem is caused by bias in the way a question is worded (choice b).

Step by step solution

01

Analyze the Question Outcomes

Observe the different outcomes from the two questions: the first question received 80% in favor, while the second had 40%. Both questions are related to campaign funding but worded differently.
02

Identify the Characteristic of Interest

Both questions pertain to the interest group's contributions to political campaigns, but the phrasing of each question affects the respondent's perception and thus their answer.
03

Determine the Underlying Variable

Notice the variable changing the outcome: the wording of the question. For example, posing a scenario or using terms like 'rights' alters how respondents view the issue at hand.
04

Evaluate Each Possible Answer Choice

- Nonresponse deals with participants failing to reply to questions. - Bias in the way a question is worded refers to how the question's phrasing influences the responses. - Sampling bias deals with the sample not representing the population correctly. - Undercoverage occurs when some members of the population are inadequately represented.
05

Match the Issue to the Question Outcomes

Given the significant differences in the responses based solely on wording, this suggests the problem is related to 'bias in the way a question is worded' because the difference arises from how the meaning is perceived from differently phrased sentences.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Question Phrasing
The phrasing of a question can have a significant impact on the responses it elicits. This is because the words and structure chosen can shape the way a respondent understands and reacts to the question. For instance, in the given exercise, two questions were asked about campaign funding. While they targeted the same issue, their wording led to dramatically different results.
  • The first question emphasized the elimination of special interests and received 80% approval.
  • The second question focused on the rights of interest groups and only received 40% approval.
This shows how wording can prime respondents to think about the issue in a particular way. In this context, words like 'eliminate' and 'prohibit' convey strong connotations, while mentioning 'rights' can invoke a different emotional response. It’s crucial for surveys to use neutral language to avoid unintentional bias and ensure that the responses truly reflect the respondents’ thoughts on the topic.
Response Bias
Response bias occurs when the answers given by survey respondents are influenced by external factors. These factors might be the question's wording, the interviewer's behavior, or the social desirability of certain responses. In the example, the change in response rates indicates response bias due to wording. The phrasing influenced respondents’ interpretations and, consequently, their answers. Such bias can skew the results of a study by making people give answers that do not reflect their true thoughts or feelings. Respondents might feel pressured to provide an 'acceptable' answer or might be swayed by how the question is framed. This is why, when crafting survey questions, it's essential to consider how different elements might affect responses. Ambiguities and emotional language should be avoided to minimize potential biases.
Sampling Errors
Sampling errors occur when the sample chosen for a survey does not accurately reflect the larger population. This can lead to incorrect or skewed results because the views or characteristics of the sample differ from those of the population as a whole. Although the primary issue in the exercise example is question phrasing, understanding sampling errors is crucial for creating reliable surveys. Several factors can contribute to sampling errors:
  • A sample size that is too small or non-representative.
  • Mistakes in the way a survey is administered or collected.
  • A reliance on convenience samples that may not reflect the diversity of the population.
To minimize sampling errors, researchers should ensure a well-designed sampling method is used. Random sampling and stratifying the sample to mirror the population's diversity can help produce more accurate results, providing insights that are truly generalizable across the whole population.

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Most popular questions from this chapter

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Many studies have demonstrated that high blood pressure increases the risk of developing heart disease or having a stroke. It is also safe to say that the health risks associated with binge drinking far outweigh any benefits. A study published in Heath Magazine in 2010 suggested that a combination of the two could be a lethal mix. As part of the study that followed 6100 South Korean men aged 55 and over for two decades, men with high blood pressure who binge drank even occasionally had double the risk of dying from a stroke or heart attack when compared to teetotalers with normal blood pressure. a. Is this an observational or experimental study? b. Identify the explanatory and response variable(s). c. Does the study prove that a combination of high blood pressure and binge drinking causes an increased risk of death by heart attack or stroke? Why or why not?

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Activity: Sampling the states This activity illustrates how sampling bias can result when you use a nonrandom sample, even if you attempt to make it representative: You are in a geography class, discussing center and variability for several characteristics of the states in the contiguous United States. A particular value of center is the mean area of the states. A map and a list of the states with their areas (in square miles) are shown in the figure and table that follow. Area for a state includes dry land and permanent inland water surface. Although we could use these data to calculate the actual mean area, let's explore how well sampling perfoms in estimating the mean area by sampling five states and finding the sample mean. a. The most convenient sampling design is to use our eyes to pick five states from the map that we think have areas representative of all the states. Do this, picking five states that you believe have areas representative of the actual mean area of the states. Compute their sample mean area. b. Collect the sample means for all class members. Construct a dot plot of these means. Describe the distribution of sample means. Note the shape, center, and variability of the distribution. c. Another possible sampling design is simple random sampling. Randomly select five states (using an app or computer program) and compute the sample mean area. d. Collect the sample means from part c of all class members. Construct a dot plot of the sample means using the same horizontal scale as in part b. Describe this distribution of sample means. Note the shape, center, and variability of the distribution. e. The true mean total land area for the 48 states can be calculated from the accompanying table by dividing the total at the bottom of the table by \(48 .\) Which sampling method, using your eyes or using random selection, tended to be better at estimating the true population mean? Which method seems to be less biased? Explain. f. Write a short summary comparing the two distributions of sample means. $$ \begin{array}{lr} \hline \ {\text { Areas of the } 48 \text { States in the Continental U.S. }} \\\ \hline \text { State } & \text { Area (square miles) } \\ \hline \text { Alabama } & 52,419 \\ \text { Arizona } & 113,998 \\ \text { Arkansas } & 53,179 \\ \text { California } & 163,696 \\ \text { Colorado } & 104,094 \\ \text { Connecticut } & 5,543 \\ \text { Delaware } & 2,489 \\ \text { Florida } & 65,755 \\ \text { Georgia } & 59,425 \\ \text { Idaho } & 83,570 \\ \text { Illinois } & 57,914 \\ \text { Indiana } & 36,418 \\ \text { Iowa } & 56,272 \\ \text { Kansas } & 82,277 \\ \text { Kentucky } & 40,409 \\ \text { Louisiana } & 51,840 \\ \text { Maine } & 35,385 \\ \text { Maryland } & 12,407 \\ \text { Massachusetts } & 10,555 \\ \text { Michigan } & 96,716 \\ \text { Minnesota } & 86,939 \\ \text { Mississippi } & 48,430 \\ \text { Missouri } & 69,704 \\ \text { Montana } & 147,042 \\ \text { Nebraska } & 77,354 \\ \text { Nevada } & 110,561 \\ \text { New Hampshire } & 9,350 \\ \text { New Jersey } & 8,721 \\ \text { New Mexico } & 121,589 \\ \text { New York } & 54,556 \\ \text { North Carolina } & 53,819 \\ \text { North Dakota } & 70,700 \\ \text { Ohio } & 44,825 \\ \text { Oklahoma } & 69,898 \\ \text { Oregon } & 98,381 \\ \text { Pennsylvania } & 46,055 \\ \text { Rhode Island } & 1,545 \\ \text { South Carolina } & 32,020 \\ \text { South Dakota } & 77,116 \\ \text { Tennessee } & 42,143 \\ \text { Texas } & 268,581 \\ \text { Utah } & 84,899 \\ \text { Vermont } & 9,614 \\ \text { Virginia } & 42,774 \\ \text { Washington } & 71,300 \\ \text { West Virginia } & 24,230 \\ \text { Wisconsin } & 65,498 \\ \text { Wyoming } & 97,814 \\ \text { U.S. TOTAL } & \mathbf{3 , 1 1 9 , 8 1 9} \\ \hline \end{array} $$

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