Sampling and Survey Flaws
20 soru
City transit official: To assess the public's satisfaction with the newly introduced Rapid Commute bus line, we surveyed commuters waiting at the line's busiest stops during the morning rush hour. Over 90 percent of the respondents indicated that the new bus line is highly convenient and significantly reduces their commute time. Clearly, the residents of this city overwhelmingly find the new Rapid Commute line to be a valuable and convenient addition to our transit system.
Which of the following most accurately describes a flaw in the transit official's reasoning?
Match each of the following flawed arguments (Left) with the abstract logical description of its specific sampling or survey error (Right).
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Review the following four scenarios, each containing a distinct methodological error related to data collection. Pair each scenario with the corresponding logical flaw description.
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Consumer advocate: A recent survey of readers of the magazine *Luxury Auto Weekly* asked whether they prioritize fuel efficiency or engine performance when purchasing a new vehicle. Over 70 percent of respondents indicated that engine performance is their primary consideration. Therefore, automakers should focus less on fuel efficiency, since it is clear that most car buyers prioritize engine performance.
Which of the following most accurately describes a flaw in the consumer advocate's reasoning?
An argument that generalizes about a population based on a survey is insulated from the flaw of relying on an unrepresentative sample as long as the researchers employed a strictly randomized process to select the individuals who were invited to participate.
A local magazine recently conducted a survey to determine whether the city's residents support the construction of a new public park. The magazine mailed a questionnaire to all of its subscribers and found that 80 percent of the respondents strongly favor the new park. Based on these results, the magazine concluded that a vast majority of the city's residents support the construction of the new park.
Which of the following best describes the flaw in the magazine's reasoning?
Match each flawed argument to the abstract description that best identifies its specific sampling or survey error.
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A multinational corporation recently introduced a voluntary wellness program for its employees. After one year, an independent consulting firm evaluated the program's effectiveness by surveying employees who had actively participated in the program for at least six months. Over 85 percent of the surveyed employees reported significant improvements in their physical health and a reduction in workplace stress. Based on these results, the consulting firm concluded that the wellness program is highly effective at improving employee well-being and should be implemented across all branches of the corporation.
Which one of the following is the most serious flaw in the consulting firm's argument?
Below are four distinct arguments that rely on statistical, survey, or polling data. Each argument commits a specific methodological fallacy. Pair each argument with the abstract logical description that best characterizes its underlying vulnerability.
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Consider the following argument:
'An independent consumer advocacy group sought to determine the reliability of the newly released Zephyr X-series washing machines. They mailed satisfaction questionnaires to 10,000 people who had purchased a Zephyr X-series machine within the last six months. Of the 1,500 people who returned the questionnaire, nearly 90 percent reported experiencing at least one major mechanical failure. Based on this data, the group concluded that the Zephyr X-series is highly unreliable.'
The primary logical flaw in this argument is that it draws a broad conclusion from a sample size (1,500 respondents) that is statistically too small to represent the experiences of all purchasers.
A manufacturer of various athletic equipment recently released a premium line of smart treadmills. To assess overall customer satisfaction with the manufacturer's entire range of products, the company emailed a survey exclusively to customers who had registered the new smart treadmills for warranty purposes. Over 95 percent of the respondents reported being extremely satisfied with their purchase. Based on this, the company's executive team concluded that nearly all of their customers are highly satisfied with the brand.
The reasoning in the executive team's argument is most vulnerable to criticism on the grounds that it
Linguist: To determine whether early exposure to multiple languages enhances cognitive flexibility, researchers tracked two groups of children over ten years: one group raised in bilingual households and another raised in monolingual households. To ensure the study measured sustained language exposure, the researchers excluded any child who failed to maintain fluency in all the languages spoken in their respective households throughout the decade. At the end of the study, the bilingual cohort scored significantly higher on cognitive flexibility assessments. Therefore, early exposure to multiple languages enhances cognitive flexibility.
The linguist's reasoning is most vulnerable to criticism on the grounds that it
An argument states: 'A public health organization sought to determine the average weekly exercise habits of adults in the nation. The organization mailed a comprehensive questionnaire to 50,000 randomly selected households. Of the 4,200 adults who completed and returned the questionnaire, 78% reported exercising for at least 150 minutes per week. Based on these results, the organization concluded that a strong majority of adults in the nation meet the standard recommendation of 150 minutes of weekly exercise.'
Statement: The organization's argument is flawed primarily because a sample of 4,200 respondents is inherently too small to provide a statistically reliable estimate for an entire national adult population.
City councilor: We recently distributed a survey to individuals holding annual vehicle registration passes in the metropolitan area to measure support for expanding the car-free downtown plazas. Of the thousands who mailed back their responses, an overwhelming majority indicated they fiercely oppose expanding the plazas. Consequently, we can safely conclude that the wider public does not want the car-free plazas to be expanded.
Which one of the following most accurately describes a flaw in the city councilor's reasoning?
City Planner: Critics argue that converting downtown commercial streets into pedestrian-only zones harms local retail economies by restricting vehicular access. However, a comprehensive review of pedestrian-only zones established nationwide over the last two decades demonstrates otherwise. Researchers analyzed the financial trajectories of the retail businesses currently operating within these zones. After controlling for regional economic trends and inflation, the data shows that these businesses experienced, on average, a 30 percent increase in both their profit margins and absolute net profits following the transition. Clearly, pedestrianizing commercial streets profoundly enhances retail profitability.
Which one of the following most accurately describes a flaw in the city planner's reasoning?
University administrator: To determine how our alumni feel about the recent shift toward online-only summer courses, we analyzed responses from our annual donor satisfaction survey, which was mailed exclusively to alumni who contributed $500 or more to the university last year. Over 80 percent of respondents indicated they strongly support the shift. Therefore, it is clear that the overwhelming majority of our alumni favor the transition to online-only summer courses.
Which one of the following most accurately describes a flaw in the university administrator's reasoning?
Consider the following argument:
An independent researcher wanted to determine the average daily screen time of teenagers. The researcher recruited 500 teenagers who were attending an annual weekend video gaming convention and tracked their screen time for a month. The results showed an average of 8 hours of screen time per day. The researcher concluded that teenagers, on average, spend 8 hours per day looking at screens.
Evaluate the following statement about the argument as true or false:
The primary logical flaw in the researcher's argument is that the sample size of 500 is too small to draw a reliable statistical conclusion about the general population of teenagers.
Match each flawed argument scenario on the left with the abstract description of its specific sampling or survey flaw on the right.
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University Administrator: To assess whether the 'Skills-First' curriculum implemented three years ago has adequately prepared our students for the workforce, we evaluated feedback from recent alumni. Questionnaires were sent to all graduates from the past three years who currently maintain active memberships in the university's philanthropy network. Over 80 percent of the respondents indicated that they are excelling in their careers and credited the curriculum for their achievements. This clearly demonstrates that the new curriculum successfully prepares our students for professional success.
The reasoning in the university administrator's argument is flawed in that the argument
An argument that draws a general conclusion about the effectiveness of a new teaching method by studying only schools that volunteered to implement the method avoids sampling bias as long as the sample size is sufficiently large.