/*! 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 2 Explain the difference between a... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

Explain the difference between a sample and a census. Every 10 years, the U.S. Census Bureau takes a census. What does that mean?

Short Answer

Expert verified
A census is an inclusive data collection method that includes every individual in a population, while a sample collects data from a subset of the population. The U.S. Census Bureau conducts a census every 10 years, meaning it collects demographic data from every individual in the United States.

Step by step solution

01

Definition of Census

A census is a method of data collection that involves obtaining data from every member of the population under observation. The prime example of a census is the U.S. Census Bureau which is responsible for obtaining population data for the entire United States every 10 years.
02

Definition of Sample

A sample, on the other hand, is a sub-group of the population that is selected for observation. The data collected from this subset is then used to infer information about the entire population. The sample should be a representative group, that reflect the characteristics of the whole population.
03

Differences between Census and Sample

The main difference between a census and a sample comes down to scale and accuracy. While a census studies every member of the population and is therefore considered highly accurate for population data, it is expensive and time-consuming. A sample, however, studies a subset of the population, is less time-consuming and costly but can be subject to sampling errors.
04

The U.S. Census Bureau's Census

Every 10 years, the U.S. Census Bureau conducts a census. This means it collects population data from every individual in the United States, acquiring demographics such as age, sex, and race. This information is then used by the government for representation (congressional) and resource allocation purposes.

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.

U.S. Census Bureau
The U.S. Census Bureau plays a pivotal role in shaping the future of America by collecting comprehensive demographic and socio-economic data. This data is essential for various governmental and organizational decisions, including the allocation of federal funds to communities, the number of seats each state is entitled to in the U.S. Census BureauHouse of Representatives, and for businesses to make informed decisions. Conducting a census every 10 years, known as the Decennial Census, is a constitutional requirement. During this period, the bureau aims to count every resident in the country, requesting information like age, race, and household size.
Population Data Collection
Population data collection is central to understanding the makeup and needs of a country. Through techniques like household surveys and censuses, data on individuals and their living conditions are gathered systematically. For the U.S. Census Bureau, the Decennial Census involves a mass mobilization of resources and personnel to capture data from rural areas to dense urban centers. High-level logistics must address barriers such as remote locations, language differences, and privacy concerns. The ubiquitous use of technology in recent censuses, like online questionnaires, has improved efficiency and outreach, although it also brings challenges related to cybersecurity and the digital divide.
Sampling Errors
Sampling errors occur when the selected sample does not accurately reflect the population it's meant to represent. These errors are a natural part of population data collection that relies on samples rather than entire populations. Variables such as sample size, selection process, and response rates significantly impact the prevalence of sampling errors. Techniques such as random sampling and stratified sampling are employed to minimize these errors. It's crucial for researchers to understand and manage sampling errors to ensure that inferences made about a population based on the sample data are valid and reliable.
Representative Group
In the context of data collection, a representative group is a subset of the larger population that accurately reflects the diversity and characteristics of the entire group. This concept is crucial in sample surveys where collecting data from every individual is impractical. The sample must embody various segments of the population—across different ages, economic statuses, geographical locations, and other demographic factors—to ensure the conclusions drawn apply to the whole. Properly selecting a representative group helps to mitigate sampling errors and ensures the fidelity of the findings to the broader context.

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

Suppose you find all the salaries of the top-level managers at a company. Could you use those data to make inferences about salaries of all employees at that office? Why or why not?

A random sample of likely students for higher studies showed that \(28 \%\) would want to pursue economics. The margin of error is \(4.5\) percentage points with a \(95 \%\) confidence level. a. Using a carefully worded sentence, report the \(95 \%\) confidence interval for the percentage of students who plan to choose economics. b. Is there evidence that there will not be enough students for economics? c. Suppose the survey was conducted in one section out of 12 sections of the classes eligible to participate in the survey. Explain how that would affect your conclusion.

In November 2011 , a Pew Poll showed that 1241 out of 2001 randomly polled people in the United States favor the death penalty for those convicted of murder. Assuming the conditions for using the CLT were met, answer these questions. $$ \begin{array}{|lrrlc|} \hline \text { Sample } & \mathrm{X} & \mathrm{N} & \text { Sample } \mathrm{p} & 958 \mathrm{CI} \\ 1 & 1241 & 2001 & 0.620190 & (0.598925,0.641455) \\ \hline \end{array} $$ Minitab Output a. Using the Minitab output given, write out the following sentence, filling in the blanks. I am \(95 \%\) confident that the population proportion favoring the death penalty is between \(\longrightarrow\) and . Report each number correct to three decimal places. b. Is it plausible to claim that a majority favor the death penalty? Explain.

Suppose that, when taking a sample of five students' heights, you get a sample mean of \(183 \mathrm{~cm}\). This sample mean is far higher than the class-wide (population) mean. Does that prove that your sample is biased? Explain. What else could have caused this high mean?

According to a Gallup Poll taken in East Germany, when adults were asked whether they were thriving, struggling, or suffering, 261 out of 435 said they were struggling. (The number that said they were suffering was \(50 .\) In West Germany the number of those who reported suffering was less than half of that.) a. What is the value of \(\hat{p}\), the sample proportion that say they are struggling? b. Check the conditions to determine whether you can apply the CLT to find a confidence interval. c. Find a \(95 \%\) confidence interval for the population proportion that say they are struggling.

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.