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Chapter 4: Problem 5

An advertisement for an upcoming TV show asked: "Should handgun control be tougher? You call the shots in a special call-in poll tonight. If Charge is 50 cents for the first minute." Over \(90 \%\) of people who called in said "Yes." Fxplain why this opinion poll is almost certainly biased.

Short Answer

Expert verified
The poll is biased due to self-selection and financial barriers, not representing the general population.

Step by step solution

01

Understanding the Context

To begin with, we need to understand what the exercise is asking. The advertisement presents a call-in poll with a charge, inviting people to voice their opinions on whether handgun control should be tougher. The key point is that over 90% of respondents agreed that it should be tougher. We need to find out why this poll result might be biased.
02

Identifying the Population

In any poll, the goal is to gather opinions that reflect the wider population. However, in this scenario, only those who watched the advertised TV show and were willing to pay to express their view participated. By considering these constraints, we identify that this self-selected group isn't representative of the general population.
03

Analyzing the Polling Method

The method of charging a fee to voice an opinion introduces a financial barrier, which means people with strong opinions are more likely to participate. Casual or indifferent opinions are less likely to be represented due to the cost involved. This creates a bias, as it doesn't reflect the views of those who aren't willing to pay.
04

Evaluating the Poll's Appeal

The advertisement might attract viewers who have a specific standpoint on the issue, possibly those strongly in favor of tougher handgun control. Those who are against tougher control might not feel as compelled to participate, leading to an overrepresentation of 'Yes' responses in the poll results.

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Key Concepts

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

Opinion Polling
Opinion polling is a method used to gather a snapshot of public sentiment on various issues. It involves asking a sample of the population questions to infer the opinions of the larger group. In the case of the TV show poll, the aim was to understand public opinion on enforcing tougher handgun control. However, this was done through a call-in format that required participants to pay, which can skew results.

There are several factors that can make opinion polls inaccurate or biased:
  • **Sample Representation**: Ideally, a poll should represent the views of a cross-section of the population it seeks to reflect. Self-selected samples, like call-in polls, often over-represent opinions of those motivated to respond (often due to strong feelings about the topic).
  • **Poll Design**: The way questions are framed can greatly influence the results. Leading questions or ones with emotional triggers can cause biased outcomes.
  • **Method of Conducting**: In our example, not everyone interested in the topic may see the advertisement or be willing to incur a cost, leading to a less diverse and less accurate result.
The crux of the problem is aligning the sample with the desired population's true distribution to achieve genuine insights about public opinion.
Survey Methodology
Survey methodology is the science of designing and conducting surveys in ways that minimize bias and ensure reliability. A well-conceived survey needs to follow certain protocols to ensure it accurately represents the population's opinions.

Some key elements in survey methodology include:
  • Sample Selection: Opting for random sampling helps in obtaining unbiased participant responses. It ensures every individual in the population has an equal chance of being selected, unlike the self-selection in the TV show's call-in poll.
  • Question Format: Questions should be simple, neutral, and precise to avoid guiding respondents towards a particular answer. Loaded or double-barreled questions can lead to inaccuracies.
  • Data Collection Method: Surveys can be conducted through various channels, like face-to-face interviews, online surveys, or telephone calls. Each method has its pros and cons, which should be carefully evaluated based on the survey's goals and target audience.
By adhering to robust survey methodologies, researchers can produce data that more accurately reflects the views and characteristics of the intended population.
Response Bias
Response bias occurs when survey participants provide answers that do not reflect their true beliefs or feelings, often due to the nature of the survey itself. This can result in skewed data and invalidate the survey's findings.

Several factors that contribute to response bias include:
  • Voluntary Response Bias: This occurs when only individuals with strong opinions, especially negative ones, choose to respond. The poll mentioned in the exercise is prone to this, as people willing to pay the fee likely hold passionate views on handgun control.
  • Social Desirability Bias: Respondents may answer questions in a way they think will be viewed favorably by others, rather than how they truly feel.
  • Acquiescence Bias: Some participants have a tendency to agree with statements provided by the surveyor, regardless of their actual opinion.
To mitigate response bias, survey designers must carefully consider how questions are posed and how responses are elicited, striving for a neutral setting that encourages honest feedback.

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Most popular questions from this chapter

A survey of drivers began by randomly sampling all listed residential telephone numbers in the United States. Of 45,956 calls to these numbers, 5029 were completed. The goal of the survey was to estimate how far people drive, on average, per day. \({ }^{15}\) (a) What was the rate of nonresponse for this sample? (b) Explain how nonresponse can lead to bias in this survey. Be sure to give the direction of the bias.

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Will storing batteries in a freezer make them last longer? To find out, a company that produces batteries takes a random sample of \(100 \mathrm{AA}\) batteries from its warehouse. The company statistician randomly assigns 50 batteries to be stored in the freezer and the other 50 to be stored at room temperature for 3 years. At the end of that time period, each battery's charge is tested. Result: Batteries stored in the freezer had a higher average charge, and the difference between the groups was statistically significant. What conclusion can we draw from this study? Explain.

Suppose that \(35 \%\) of the registered voters in a state are registered as Republicans, \(40 \%\) as Democrats, and \(25 \%\) as Independents. A newspaper wants to select a sample of 1000 registered voters to predict the outcome of the next election. If they randomly select 350 Republicans, randomly select 400 Democrats, and randomly select 250 lndependents, did this sampling procedure result in a simple randon sanple of registered voters from this district? (a) Yes, because each registered voter had the same chance of being chosen. (b) Yes, because random chance was involved. (c) No, because not all registered voters had the same chance of being chosen. (d) No, because there were a different number of registered voters selected from each party. (e) No, because not all possible groups of 1000 registered voters had the same chance of being chosen.
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