/*! 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 17 Below are excerpts from two arti... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

Below are excerpts from two articles published in the NY Times: (a) An article called Risks: Smokers Found More Prone to Dementia states the following: \({ }^{57}\) "Researchers analyzed the data of 23,123 health plan members who participated in a voluntary exam and health behavior survey from 1978 to \(1985,\) when they were 50 to 60 years old. Twenty-three years later, about one-quarter of the group, or \(5,367,\) had dementia, including 1,136 with Alzheimers disease and 416 with vascular dementia. After adjusting for other factors, the researchers concluded that pack-a-day smokers were 37 percent more likely than nonsmokers to develop dementia, and the risks went up sharply with increased smoking; 44 percent for one to two packs a day; and twice the risk for more than two packs." Based on this study, can we conclude that smoking causes dementia later in life? Explain your reasoning. (b) Another article called The School Bully Is Sleepy states the following: 5 "The University of Michigan study, collected survey data from parents on each child's sleep habits and asked both parents and teachers to assess behavioral concerns. About a third of the students studied were identified by parents or teachers as having problems with disruptive behavior or bullying. The researchers found that children who had behavioral issues and those who were identified as bullies were twice as likely to have shown symptoms of sleep disorders." A friend of yours who read the article says, "The study shows that sleep disorders lead to bullying in school children." Is this statement justified? If not, how best can you describe the conclusion that can be drawn from this study?

Short Answer

Expert verified
(a) Smoking is correlated with a higher likelihood of dementia, but causation is not established. (b) There's a correlation between sleep disorders and bullying, but causation cannot be concluded.

Step by step solution

01

Understand the Objective

Clarify the objective of each article excerpt. Part (a) concerns the relationship between smoking and dementia, and Part (b) examines the association between sleep disorders and bullying behavior in children.
02

Evaluate the Evidence for Smoking and Dementia

In Part (a), the study suggests that smokers have a higher likelihood of developing dementia. However, the study mentions only correlations without causal evidence. Correlation does not imply causation; thus, we cannot conclusively say that smoking causes dementia without more controlled experimental evidence.
03

Assess the Interpretation of Sleep Disorders and Bullying

In Part (b), the study indicates an association between sleep disorders and aggressive behavior or bullying. The friend concludes that sleep disorders cause bullying. However, similar to Part (a), this is a correlational study. Correlation does not imply causation, so the statement that sleep disorders lead to bullying is not justified without further investigation into other potential confounding variables.
04

Formulate Logical Conclusions

For Part (a), the study demonstrates a correlation between smoking and increased risk of dementia, but causation cannot be inferred, highlighting the need for further research. For Part (b), the conclusion should reflect that there is a significant correlation between sleep disorders and bullying, yet more research is required to determine causality.

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.

Correlation vs. Causation
One of the biggest pitfalls in data analysis is confusing correlation with causation. When two variables are correlated, it means there is a relationship or pattern between them. But that doesn't always mean one causes the other. It's entirely possible for two things to happen simultaneously without one causing the other. In the exercise above, both scenarios show a relationship, or correlation, between the subjects' behaviors (smoking and sleep disorders) and the outcomes (dementia and bullying). Yet, this doesn't mean one necessarily causes the other.

It is crucial to explore whether there are other explanations for the findings. Sometimes two correlated occurrences may actually be influenced by a third, unseen factor. Without rigorous scientific evidence or controlled experiments, it is risky to claim causal links based solely on correlation.
Confounding Variables
Confounding variables can muddy the waters of a study. These are factors that might affect both the supposed cause and effect, thus leading to a spurious association. In the exercise examples, several confounding factors could obscure results. For instance, in the smoking and dementia study, socioeconomic status or lifestyle choices could play a role. Similarly, in the case of sleep disorders and bullying, home environment or other psychological issues might be confounding variables.

Understanding and controlling for these confounders is vital in drawing accurate conclusions. Inclusion of more detailed data or additional research can help isolate the true relationship between variables. This ensures that the observed effects aren’t actually driven by some other related factor.
Data Analysis
Good data analysis requires careful examination of the relationship between variables. In order to draw strong conclusions, researchers must distinguish between correlation and causality, and identify potential confounding factors. This is often accomplished by using statistical techniques to adjust for these confounders, as seen in the step by step solution for smoking and dementia.

Additionally, when analyzing data, it's important to consider the sample size and method of data collection, as these can significantly influence the results. Large, well-conducted studies provide more reliable findings. Here, analyzing data collection methods and adjusting for possible biases or errors are crucial steps for uncovering the true insights in the research.
Study Interpretation
The final step in research is making sense of your findings, which is known as study interpretation. This often involves considering the practical implications of the data, as well as the limitations of the study. For instance, with the smoking and dementia article, it's important not to leap to causation from the reported correlation.

A careful interpretation must ask whether more research is necessary to uncover the exact nature of the relationship. Meanwhile, with the sleep and bullying study, understanding what current evidence suggests and what it doesn’t show helps avoid misleading conclusions. Thus, accurately interpreting a study involves being honest about what the data can prove and what it just suggests, always being open to additional inquiries for a clearer picture.

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

Identify (i) the cases, (ii) the variables and their types, and (iii) the main research question of the studies described below. (a) While obesity is measured based on body fat percentage (more than \(35 \%\) body fat for women and more than \(25 \%\) for men), precisely measuring body fat percentage is difficult. Body mass index (BMI), calculated as the ratio weight/height \(^{2},\) is often used as an alternative indicator for obesity. A common criticism of BMI is that it assumes the same relative body fat percentage regardless of age, sex, or ethnicity. In order to determine how useful BMI is for predicting body fat percentage across age, sex and ethnic groups, researchers studied 202 black and 504 white adults who resided in or near New York City, were ages \(20-94\) years old, had BMIs of \(18-35 \mathrm{~kg} / \mathrm{m}^{2}\), and who volunteered to be a part of the study. Participants reported their age, sex, and ethnicity and were measured for weight and height. Body fat percentage was measured by submerging the participants in water. (b) In a study of the relationship between socio-economic class and unethical behavior, 129 University of California undergraduates at Berkeley were asked to identify themselves as having low or high social-class by comparing themselves to others with the most (least) money, most (least) education, and most (least) respected jobs. They were also presented with a jar of individually wrapped candies and informed that they were for children in a nearby laboratory, but that they could take some if they wanted. Participants completed unrelated tasks and then reported the number of candies they had taken. It was found that those in the upper-class rank condition took more candy than did those in the lower-rank condition. \(^{52}\)

Suppose we want to estimate family size, where family is defined as one or more parents living with children. If we select students at random at an elementary school and ask them what their family size is, will our average be biased? If so, will it overestimate or underestimate the true value?

In a class of 25 students, 24 of them took an exam in class and 1 student took a make-up exam the following day. The professor graded the first batch of 24 exams and found an average score of 74 points with a standard deviation of 8.9 points. The student who took the make-up the following day scored 64 points on the exam. (a) Does the new student's score increase or decrease the average score? (b) What is the new average? (c) Does the new student's score increase or decrease the standard deviation of the scores?

A large college class has 160 students. All 160 students attend the lectures together, but the students are divided into 4 groups, each of 40 students, for lab sections administered by different teaching assistants. The professor wants to conduct a survey about how satisfied the students are with the course, and he believes that the lab section a student is in might affect the student's overall satisfaction with the course. (a) What type of study is this? (b) Suggest a sampling strategy for carrying out this study.

Data were collected on life spans (in years) and gestation lengths (in days) for 62 mammals. A scatterplot of life span versus length of gestation is shown below. (a) What type of an association is apparent between life span and length of gestation? (b) What type of an association would you expect to see if the axes of the plot were reversed, i.e. if we plotted length of gestation versus life span? (c) Are life span and length of gestation independent? Explain your reasoning.

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.