Table of contents

1. Intro to Stats and Collecting Data1h 14m
2. Describing Data with Tables and Graphs1h 55m
3. Describing Data Numerically2h 5m
4. Probability2h 16m
5. Binomial Distribution & Discrete Random Variables3h 6m
6. Normal Distribution and Continuous Random Variables2h 11m
7. Sampling Distributions & Confidence Intervals: Mean3h 23m
8. Sampling Distributions & Confidence Intervals: Proportion1h 12m
- Sampling Distribution of Sample Proportion
  29m
- Confidence Intervals for Population Proportion
  42m
9. Hypothesis Testing for One Sample3h 29m
10. Hypothesis Testing for Two Samples4h 50m
11. Correlation1h 6m
12. Regression1h 50m
13. Chi-Square Tests & Goodness of Fit1h 57m
14. ANOVA1h 57m

1. Intro to Stats and Collecting Data

Intro to Stats

Statistics

1. Intro to Stats and Collecting Data

Intro to Stats

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2:20 minutes

Problem 1.2a

Textbook Question

Reported Versus Measured In a survey of 1046 adults conducted by Bradley Corporation, subjects were asked how often they wash their hands when using a public restroom, and 70% of the respondents said “always.”

a) Identify the sample and the population.

Verified step by step guidance

Identify the population: The population is the entire group that you want to draw conclusions about. In this case, it is all adults who use public restrooms.

Identify the sample: The sample is the subset of the population that is actually observed or surveyed. Here, it is the 1046 adults who participated in the survey conducted by Bradley Corporation.

Understand the relationship: The sample is used to make inferences about the population. The survey results from the sample (1046 adults) are used to estimate the behavior of the entire population of adults.

Consider the representativeness: Evaluate whether the sample is representative of the population. This involves considering how the sample was selected and whether it might be biased.

Reflect on the findings: The survey found that 70% of the sample reported always washing their hands in public restrooms. This statistic is used to infer the handwashing habits of the broader population of adults.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Sample

In statistics, a sample refers to a subset of individuals or observations selected from a larger population. The sample is used to make inferences about the population. In this context, the sample consists of the 1046 adults who participated in the survey conducted by Bradley Corporation.

Population

The population in statistics is the entire group of individuals or instances about whom we seek to draw conclusions. It encompasses all possible subjects that fit a particular set of criteria. Here, the population would be all adults who use public restrooms, as the survey aims to understand handwashing behavior in this group.

Survey Methodology

Survey methodology involves the techniques and principles used to conduct surveys and collect data from respondents. It includes designing the survey, selecting the sample, and analyzing the results. Understanding this concept helps in evaluating the reliability and validity of the survey results, such as the claim that 70% of respondents 'always' wash their hands in public restrooms.

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Related Practice

Multiple Choice

Which of the following is NOT quantitative data?

Multiple Choice

Which of the following is a discrete quantitative set of data?

Textbook Question

Body Temperatures Listed below are body temperatures from six different subjects measured at two different times in a day (from Data Set 5 “Body Temperatures” in Appendix B).

a. Are the two sets of data independent or dependent? Explain.

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Textbook Question

Computer Virus In an AOL survey of Internet users, this question was posted online: “Have you ever been hit by a computer virus?” Among the 170,063 responses, 63% answered “yes.” What term is used to describe this type of survey in which the people surveyed consist of those who chose to respond? What is wrong with this type of sampling method?

Textbook Question

In Exercises 5–8, determine whether the given source has the potential to create a bias in a statistical study.

AAA The American Automobile Association (AAA) is a not-for-profit federation of motor clubs that provides automotive and travel services. AAA conducts a survey of its members about their use of public transportation versus private automobiles.

Textbook Question

In Exercises 13–20, determine whether the results appear to have statistical significance, and also determine whether the results appear to have practical significance.

Bias in Jury Selection In the case of Casteneda v. Partida, it was found that during a period of 11 years in Hidalgo County, Texas, 870 people were selected for grand jury duty, and 39% of them were Americans of Mexican ancestry. Among the people eligible for grand jury duty, 79.1% were Americans of Mexican ancestry.

Textbook Question

In Exercises 21–24, refer to the sample of body temperatures (degrees Fahrenheit) in the table below. (The body temperatures are from Data Set 5 in Appendix B.)

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Context of the Data Refer to the table of body temperatures. Is there some meaningful way in which each body temperature recorded at 8 AM is matched with the 12 AM temperature?

Textbook Question

In Exercises 21–24, refer to the sample of body temperatures (degrees Fahrenheit) in the table below. (The body temperatures are from Data Set 5 in Appendix B.)

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Conclusion Given the body temperatures in the table, what issue can be addressed by conducting a statistical analysis of the data?

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