/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 31 Paying taxes. In April 2016, a G... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

Paying taxes. In April 2016, a Gallup Poll asked two questions about the amount one pays in federal income taxes. \({ }^{24}\) Here are the two questions: Question A: Do you regard the income tax which you will have to pay this year as fair? Question B: Do you consider the amount of federal income tax you have to pay as too high, about right, or too low? One of these drew \(57 \%\) saying the amount was not fair or too high; the other, \(47 \%\). Which wording produced the lower percentage? Why?

Short Answer

Expert verified
Question B, focusing on tax amount, produced the lower percentage (47%). People generally find taxes unfair, hence question A was more provocative.

Step by step solution

01

Understand the Questions

Question A asks about the fairness of the income tax, while Question B asks if the income tax amount is too high, about right, or too low. Both involve subjective opinions but are phrased differently.
02

Identify Responses

Question A expects a response of whether people regard the tax as fair, whereas Question B asks if people find the tax amount too high, about right, or too low. The key difference is the focus: fairness vs. amount.
03

Compare the Percentages

The poll results show two statistics: 57% and 47%. One response results in a higher percentage agreeing, and the other results in the lower.
04

Analyze Question Bias

Questions regarding fairness (Question A) can elicit a strong negative bias, as people often discuss taxes in terms of fairness. This likely led to more 'unfair' or 'too high' responses.
05

Determine Which Question is More Likely to Produce a Higher Percentage

A question focusing on fairness tends to provoke more negative responses than one about the appropriate level. Thus, Question A likely led to the 57% response that taxes are unfair or too high.
06

Establish Conclusion Based on Analysis

Since opinion questions gauging fairness usually have a higher percentage of negative responses, Question B, asking about the tax amount, likely resulted in 47% saying it is too high.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91Ó°ÊÓ!

Key Concepts

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

Public Opinion Surveys
Public opinion surveys are an essential tool for gathering insights into public attitudes and beliefs on various topics. These surveys help organizations, governments, and researchers understand the perspectives of a population, informing decision-making and policy development. In the case of questions about taxes, surveys provide data on how people feel about tax policies and their fairness.
Public opinion surveys generally involve structured questionnaires distributed to a sample group. By analyzing responses, researchers can draw conclusions about the wider population's views. However, care must be taken to ensure samples are representative and that the questions predict reliable and unbiased opinions.
The Gallup Poll referred to in the exercise is an example of a public opinion survey intended to capture individuals' sentiments on income tax. Responses such as fairness or perceived tax burden can vary significantly based on question wording, highlighting the importance of how surveys are designed. Conducting public opinion surveys requires attention to detail in question design, sampling methods, and data analysis to develop accurate insights.

Key aspects of public opinion surveys include:
  • Sampling: selecting a representative group to answer the questions.
  • Question design: crafting questions that elicit genuine responses without bias.
  • Data collection and analysis: systematically compiling and interpreting data to draw insights.
Question Wording Effects
The wording of survey questions can significantly influence the responses gathered, a phenomenon known as question wording effects. Even subtle differences in phrasing can lead to varied interpretations and responses. This aspect of survey design is critical, as it can skew data and result in misleading conclusions.
In the exercise's context, two questions were asked about taxes: one focused on fairness (Question A), and the other on the amount (Question B). Both questions dealt with taxes but were phrased in ways that may prompt different emotional reactions and thoughts.
Question A, which asked about whether taxes are fair, taps into a moral and subjective judgment, often provoking a negative bias. People may perceive taxes as unfair due to common societal narratives that criticize tax systems. As such, Question A likely led to a higher percentage identifying taxes as unfair.
On the other hand, Question B asked whether the tax amount was too high, which taps into a comparison of expectation versus reality. Such framing can draw respondents to consider their situation and resources, resulting in varied responses. For this reason, Question B generated a lower percentage of respondents claiming taxes were too high.

Question wording effects illustrate how careful phrasing can influence survey data:
  • Different wording can evoke emotional responses, affecting answers.
  • Subtle phrasing changes can shift the focus or context of the question.
  • Wording biases must be identified and minimized to preserve data quality.
Data Analysis Strategies
Data analysis strategies are crucial in interpreting results from public opinion surveys and making sense of collected data. Effective data analysis helps to uncover trends, patterns, and insights that guide decision-making and inform public policy. When analyzing survey data, various strategies can be employed depending on the complexity and scope of the dataset. Here are a few fundamental approaches:
  • Descriptive Analysis: This involves summarizing the basic features of data, using statistics like mean, median, mode, and percentages to provide an overview of the survey responses. For instance, calculating the percentage of respondents who find taxes unfair.
  • Cross-tabulation: This method allows researchers to compare different variables, making it easier to identify relationships or correlations. For example, cross-tabulating perceptions of tax fairness with demographic factors to see if age or income level affects responses.
  • Regression Analysis: To explore relationships between variables deeper, regression can identify trends and predict future outcomes. It can help understand the factors that influence perceptions of tax fairness or burden.
  • Qualitative Analysis: Sometimes, open-ended responses provide richer data that require a qualitative approach, allowing for thematic analysis and insights that numbers alone can't capture.
Ultimately, the chosen data analysis strategy must align with the survey's goals. In the context of tax-related questions, understanding the influences on public perceptions can help design better tax policies that are perceived as both fair and appropriate.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

The Canadian census. The Canadian government's decision to eliminate the mandatory long-form version of the census and to move these questions to an optional survey has many concerned. Many members of the business community and economists stressed the importance of the census data for crafting public policy. The minister of industry was given the task of defending the government's decision. In response to an argument that making the long form of the census voluntary would skew the data by eliminating the statistical randomness of the survey, the minister replied: "Wrong. Statisticians can ensure validity with a larger sample size." Is the minnister correct? If not, explain in simple terms the error in his statement.

Nonresponse. Academic sample surveys, unlike commercial polls, often discuss nonresponse. 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.27 What was the rate of nonresponse for this sample? (Only one call was made to each number. Nonresponse would be lower if more calls were made-)

Sampling Greemville County. The rails to trails program refers to the conversion of old rail corridors into multipurpose trails for recreation and transportation. Researchers were interested in obtaining information on characteristics of users and nonusers of a 10-mile-long paved greenway trail in Greenville, South Carolina, that connects residential areas to both a university campus and the commercial downtown area of the city. Random digit dialing of residential numbers was done using a database of exchanges. A total of 2461 persons were contacted, of which 726 completed the survey. When a household was reached, surveyors asked to speak to the adult over 18 with the next birthday. No cell phone numbers were included in the sample. 23 (a) What is the population of interest? What is the response rate for the survey? (b) The following table gives the number of adults between 18 and 64 , and 65 or older in both the sample and the county (only 689 of the 726 respondents to the survey provided data on their ages). The county counts were obtained from the U.S. Census Bureau: What percent of the sample is between 18 and 64? What percent of the population is between 18 and 64? Does this difference surprise you given the sampling method described? Explain briefly. (c) Among the 726 respondents, 181 or \(24.9 \%\) reported using the trail in the last six months. Do you think this sampling method gives biased information about the percent of Greenville County adults who have used the trail in the last six month? What is the likely direction of bias? Explain briefly.

The Pew Research Centers Report entitled "How Americans value public libraries in their communities, " released December 11, 2013, asked a random sample of 6224 Americans aged 16 and over, "Have you used a Public Library website in the last 12 months?" In the entire sample, \(30 \%\) said Yes. But only \(17 \%\) of those in the sample over 65 years of age said Yes. Which of these two sample percents will be more accurate as an estimate of the truth about the population? (a) The result for those over 65 is more accurate because it is easier to estimate a proportion for a small group of people. (b) The result for the entire sample is more accurate because it comes from a larger sample. (c) Both are equally accurate because both come from the same sample.

Student Archaeologists. An archaeological dig turns up large numbers of pottery shards, broken stone implements, 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' work. What are the population and the sample here?

See all solutions

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.