/*! 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 47 Indicate whether we should trust... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

Indicate whether we should trust the results of the study. Is the method of data collection biased? If it is, explain why. Ask a random sample of people in a given school district, "Excellent teachers are essential to the well-being of children in this community, and teachers truly deserve a salary raise this year. Do you agree?" Use the results to estimate the proportion of all people in the school district who support giving teachers a raise.

Short Answer

Expert verified
The method of data collection is biased due to the leading nature of the question asked in the study. While the results can give an indication of the sentiment in the district, the validity is questionable due to this bias. Therefore, it would be advised not to fully trust the results of this study.

Step by step solution

01

Evaluate the question

Firstly, let's look at the question that is being asked: 'Excellent teachers are essential to the well-being of children in this community, and teachers truly deserve a salary raise this year. Do you agree?' This question is leading and suggestive in nature, introducing a bias into the method of data collection. It has a built-in assumption which is that excellent teachers are essential and they deserve a raise. This phrasing could potentially sway the respondents towards agreeing.
02

Evaluate the sample selection

Secondly, let's evaluate the sample selection. The people surveyed are a random sample from a given school district. If the sample is truly random and representative, then this aspect of the study will not introduce bias.
03

Evaluate the validity of the results

Finally, based on the bias introduced in the way the question was phrased and assuming that the sample chosen was truly random and representative, we can conclude that while the results might give an indication of the sentiment in the district, the bias in the question poses a potential problem for the validity of the results.

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.

Survey Question Bias
When conducting research, it's crucial to draft unbiased survey questions to get a true sense of the respondents' opinions. In the given exercise, the question posed to the random sample is, unfortunately, a prime example of survey question bias. With its leading language, the question suggests an expectation of a positive response by stating a widely valued belief ('Excellent teachers are essential...') before asking if they deserve a raise.

Improving this question requires removing the suggestive statement and asking more directly, 'Do you believe teachers in this community should receive a salary raise this year?' This neutral phrasing allows individuals to provide an answer based on their own beliefs rather than feeling pressured to agree with the sentiment the question's phrasing implies.
Sample Selection
The sample selection process greatly influences the reliability of research findings. For the survey on whether teachers deserve a raise, a random sample from a given school district is chosen, which is a good practice to avoid selection bias. It is imperative for the randomness of the sample to be assured to maintain its representativeness of the larger population. This means that every individual within the target population should have an equal chance of being selected.

To improve upon this, researchers could use measures such as stratified sampling to ensure various subgroups within the district are equally represented, reflecting a diverse range of views from parents, non-parents, teachers, and other stakeholders.
Validity of Research Results
The validity of research results hinges on how rigorously the study is designed and conducted. A key component to consider is whether the research methods used could lead to biased outcomes. As identified in the question phrasing from our exercise, the suggestive language introduces bias, impacting the study's validity. Even with a truly random sample, if the question presented leads respondents towards a particular answer, the results cannot be taken as an accurate representation of the general opinion.

Ensuring validity would involve crafting neutral questions and establishing clear, unbiased procedures for selecting a sample. Furthermore, analyzing the consistency of results across different samples or conducting similar studies in varied settings can help reinforce the validity of the initial findings.

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

Diet Cola and Weight Gain in Rats A study \(^{32}\) fed one group of rats a diet that included yogurt sweetened with sugar, and another group of rats a diet that included yogurt sweetened with a zerocalorie artificial sweetener commonly found in diet cola. The rats that were fed a zero-calorie sweetener gained more weight and more body fat compared to the rats that were fed sugar. After the study was published, many news articles discussed the implication that people who drink diet soda gain more weight. Explain why we cannot conclude that this is necessarily true.

"Antibiotics in infancy may cause obesity in adults," claims a recent headline. \(^{49}\) A study in mice randomly assigned infant mice to either be given antibiotics or not, and the mice given antibiotics were more likely to be obese as adults. A separate study in humans found that children who had been given antibiotics before they were a year old (for example, for an ear infection) were more likely to be obese as adults. (Researchers believe the effect may be due to changes in the gut microbiome.) Based on these studies, is the headline an appropriate conclusion to make: (a) For mice? (b) For humans?

State whether or not the sampling method described produces a random sample from the given population. The population is the approximately 25,000 protein-coding genes in human DNA. Each gene is assigned a number (from 1 to 25,000 ), and computer software is used to randomly select 100 of these numbers yielding a sample of 100 genes.

How Are Age and Income Related? An economist collects data from many people to determine how age and income are related. How the data is collected determines whether the variables are quantitative or categorical. Describe how the information might be recorded if we regard both variables as quantitative. Then describe a different way to record information about these two variables that would make the variables categorical.

Three situations are described at the start of this section, on page \(29 .\) In the third bullet, we describe an association between the amount of salt spread on the roads and the number of accidents. Describe a possible confounding variable and explain how it fits the definition of a confounding variable.

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.