/*! 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 8 You have probably seen the mall ... [FREE SOLUTION] | 91Ó°ÊÓ

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

Short Answer

Expert verified
Mall shoppers aren't representative of the general population, especially the unemployed.

Step by step solution

01

Understand the Problem

The problem is asking why a large sample of mall shoppers doesn't provide a trustworthy estimate of the current unemployment rate. First, consider what the unemployment rate measures: the percentage of the labor force that is jobless and actively seeking employment.
02

Assess the Sample Representativeness

Evaluate whether the sample (mall shoppers) represents the entire population. In this case, the sample may be biased because it only includes individuals who visit malls. People who are unemployed or not part of the labor force may not frequent malls due to financial or other constraints.
03

Consider Sample Bias

The sample is likely biased because it disproportionately represents people who have disposable income or leisure time, i.e., those who are employed or not actively seeking employment. Thus, mall shoppers are not representative of the general population, especially those unemployed.
04

Evaluate Data Collection Method

The data collection method involves interviewing people at a mall. This convenience sampling method can result in coverage error, as it covers only certain types of individuals while excluding those who might not go to a mall, such as the unemployed.
05

Draw Conclusion

Conclude that interviewing mall shoppers leads to selection bias because the sample lacks diversity and doesn't accurately reflect the employment status of the overall population.

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Key Concepts

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

Unemployment Rate
The unemployment rate is a crucial economic indicator. It shows the percentage of the labor force that is without a job but actively seeking employment. To be part of the labor force, a person must be working or looking for work.
This rate helps economists, governments, and businesses understand the health of the labor market and make informed decisions.
A higher unemployment rate may suggest economic trouble, while a lower rate could indicate a thriving economy. However, it's not just about numbers; it's about understanding who is counted. Certain groups, such as discouraged workers, might not be reflected in these stats. So, knowing how the rate is calculated is key to understanding its implications for the economy.
Representative Sample
A representative sample is crucial for accurate data collection. This sample should reflect the diversity of the entire population that is being studied.
For example, if you want to know the unemployment rate, your sample should include various age groups, income levels, and regions to accurately reflect the broader population characteristics.
By ensuring diversity, a representative sample minimizes bias and leads to more precise and trustworthy conclusions. In statistical studies, it's essential to carefully design the sampling process to avoid errors that could skew results.
Convenience Sampling
Convenience sampling involves selecting a sample based on ease and availability, rather than random or systematic selection. Mall surveys are a common example because they target individuals who are readily accessible at the shopping center.
While convenient, this method can introduce significant bias. The people available and willing to participate are often not a true cross-section of the general population.
  • It can lead to coverage error by excluding important population segments.
  • The ease of access can also lead to a lack of diversity in the sample.
  • This might result in inaccurate results if the goal is to understand a broader societal trend.
Therefore, using convenience sampling can lead to unreliable conclusions when estimating values like the unemployment rate.
Population Bias
Population bias occurs when there is a systematic error due to a non-representative sample. This means certain groups are overrepresented or underrepresented in the data.
In the case of estimating unemployment rates, mall shoppers typically do not reflect the entire population. They might have disposable income, spare time, or simply live closer to the shopping centers. As a result, the unemployed, who might avoid costly places like malls due to limited finances, are often underrepresented.
This leads to skewed data and inaccurate conclusions. Addressing population bias involves using strategies like stratified sampling to ensure various groups are adequately represented in the sample, making the study more robust and reliable.

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Most popular questions from this chapter

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