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Politics, A candidate for office claims that "there is a. correlation between television watching and crime." Criticize this statement on statistical grounds.

Short Answer

Expert verified
The claim lacks evidence and needs statistical analysis for validation; correlation does not imply causation.

Step by step solution

01

Understand Correlation

The candidate is claiming a correlation between two variables: television watching and crime. In statistical terms, correlation refers to a measure that describes the size and direction of a relationship between two variables.
02

Examine Evidence Requirement

For a claim of correlation to be valid, there needs to be empirical evidence or data to support it. This usually involves statistical analysis to show that changes in one variable are linked to changes in the other.
03

Consider Study Design

To establish correlation, one must conduct a well-designed study. This can either be observational, where you've collected data from existing sources, or experimental, where you can control one variable to assess its impact on the other.
04

Differentiate Correlation and Causation

Even if a statistical correlation is present, it is crucial to differentiate it from causation. Correlation does not imply that one variable causes the other to change.
05

Investigate Confounding Variables

Examine if confounding variables could influence both television watching and crime, which may falsely suggest a correlation. For example, socioeconomic status might affect both variables independently.
06

Conclusion

Without clear evidence from a properly conducted statistical analysis, the statement lacks scientific backing. The claim that television watching is correlated with crime is not inherently valid without data.

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Key Concepts

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

Correlation vs Causation
Correlation and causation are important concepts in statistics that often lead to confusion. When people find a correlation between two variables, they might think one causes the other. But correlation simply shows a pattern or relationship between variables, not causation. Let's break it down further so you can understand it clearly.
  • **Correlation** indicates that two variables tend to move in some consistent pattern. They could increase together, decrease together, or one increases while the other decreases.
  • **Causation** means that changes in one variable actually cause changes in another. Establishing causation requires more than just finding a correlation.
For example, consider the statement "television watching correlates with crime." It might be true that areas with high TV viewership also have high crime rates, but this doesn't mean watching TV causes crime. They might just happen together without one affecting the other.
Distinguishing between correlation and causation is crucial because making the wrong assumption can lead to misleading conclusions or ineffective policies.
Confounding Variables
Confounding variables are factors other than the variables being studied that could influence the outcome. They can create a false appearance of a relationship between variables. Imagine confounding variables as hidden influences, quietly affecting your results.
In the context of the television and crime correlation, various confounding factors might play a role. For instance:
  • **Socioeconomic status:** People with lower incomes might have less access to safe recreational activities, increasing both TV watching and crime rates.
  • **Age distribution:** Younger populations might watch more TV and also engage in criminal activities more frequently than older groups, affecting the correlation.
Recognizing and accounting for confounding variables is essential to avoid drawing incorrect conclusions from data. Scientists use statistical methods to control confounding factors whereby they separate the effects of confounders to truly understand the relationship between main variables.
Empirical Evidence
Empirical evidence is the backbone of any scientific claim. It consists of data and observations that support or refute a hypothesis. Without empirical evidence, claims remain speculative and lack credibility.
For the statement "television watching correlates with crime," you would need concrete data to support it. This could involve:
  • Collecting data from various regions on TV watching habits and crime rates.
  • Performing statistical analyses to check if changes in TV watching are consistently associated with changes in crime rates.
Using empirical evidence helps move away from personal opinions or assumptions to concrete proof that offers a more accurate picture of reality. It allows researchers to substantiate their hypotheses with objective measurements, making their findings more reliable and credible.
Study Design
A robust study design is key to obtaining valid and reliable results in research. It refers to the structure and strategy employed to gather and analyze data effectively. Study designs can broadly be classified as observational or experimental, each with its unique strengths and limitations.
  • **Observational Study:** This type involves collecting data as it occurs naturally, without interference. Observational studies can suggest correlations and provide insights into patterns. However, they are limited in their ability to establish causation due to the lack of control over variables.
  • **Experimental Study:** Experimental designs give researchers control over one or more variables, observing the effects of these controlled changes on other variables. This setup is ideal for establishing causal relationships but can be more challenging and expensive to implement.
Choosing the right study design is crucial to answering specific research questions effectively. For investigating the claim "television watching correlates with crime," an initial observational study might identify if any correlation exists, while more controlled experimental approaches could examine causation, if feasible.

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Most popular questions from this chapter

Correlation conclusions I. The correlation between Age and Income as measured on 100 people is \(r=0.75 .\) Explain whether or not each of these possible conclusions is justified: a) When Age increases, Income increases as well. b) The form of the relationship between Age and Income is straight. c) There are no outliers in the scatterplot of Income vs. Age. d) Whether we measure Age in years or months, the correlation will still be \(0.75\).

Height and reading. A researcher studies children in elementary school and finds a strong positive linear association between height and reading scores. a) Does this mean that taller children are generally better readers? b) What might explain the strong correlation?

Correlation errors. Your Economics instructor assigns your class to investigate factors associated with the gross domestic product (GDP) of nations. Each student examines a different factor (such as Life Expectancy, Literacy Rate, etc.) for a few countries and reports to the class. Apparently, some of your classmates do not understand Statistics very well because you know several of their conclusions are incorrect. Explain the mistakes in their statements below. a) "My very low correlation of \(-0.772\) shows that there is almost no association between \(G D P\) and Infant Mortality Rate." b) "There was a correlation of \(0.44\) between \(G D P\) and Continent."

Prediction units. The errors in predicting hurricane tracks (examined in this chapter) were given in nautical miles. An ordinary mile is \(0.86898\) nautical miles. Most people living on the Gulf Coast of the United States would prefer to know the prediction errors in miles rather than nautical miles. Explain why converting the errors to miles would not change the correlation between Prediction Error and Year.

Association. Suppose you were to collect data for each pair of variables. You want to make a scatterplot. Which variable would you use as the explanatory variable and which as the response variable? Why? What would you expect to see in the scatterplot? Discuss the likely direction, form, and strength. a) Long-distance calls: time (minutes), cost b) Lightning strikes: distance from lightning, time delay of the thunder c) A streetlight: its apparent brightness, your distance from it d) Cars: weight of car, age of owner

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