3rd Edition

ISBN: 9780135188927

Author: Gould, Robert, Ryan, Colleen N. (colleen Nooter)

Publisher: Pearson,

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Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative p…

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Textbook Question

Chapter 7, Problem 63SE

Democracy and Unpopular Views A 2017 survey of U.S. adults found that 74 % believed that protecting the rights of those with unpopular views is a very important component of a strong democracy. Assume the sample size was 1000.

a. How many people in the sample felt this way?

b. Is the sample large enough to apply the Central Limit Theorem? Explain. Assume all other conditions are met.

c. Find a 95 % confidence interval for the proportion of U.S. adults who believe that protecting the rights of those with unpopular views is a very important component of a strong democracy.

d. Find the width of the 95 % confidence interval. Round your answer to the nearest tenth percent.

e. Now assume the sample size was 4000 and the percentage was still 74 % . Find a 95 % confidence interval and report the width of the interval.

f. What happened to the width of the confidence interval when the sample size was increased? Did it increase or decrease?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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Chapter 7, Problem 62SE

Chapter 7, Problem 64SE

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Chapter 7 Solutions

Introductory Statistics

Ch. 7 - Population vs. Sample (Example 1) In 2017 the...Ch. 7 - Population vs. Sample In 2017 Pew Research Center...Ch. 7 - Parameter vs. Statistic (Example 2) Bob Ross...Ch. 7 - Parameter vs. Statistic The website...Ch. 7 - x vs. Two symbols are used for the mean: and x....Ch. 7 - vs. s Two symbols are used for the standard...Ch. 7 - vs. x The mean weight of all professional NBA...Ch. 7 - vs. s The standard deviation of all professional...Ch. 7 - Notation (Example 3) The city of San Francisco...Ch. 7 - Notation The city of Chicago provides an open data...

Ch. 7 - Samples and Populations (Example 4) Chapman...Ch. 7 - Samples and Populations The Centers for Disease...Ch. 7 - Sample vs. Census You are receiving a large...Ch. 7 - Sampling GPAs Suppose you want to estimate the...Ch. 7 - Sampling with and without Replacement Explain the...Ch. 7 - Simple Random Sampling Is simple random sampling...Ch. 7 - Finding a Random Sample (Example 5) You need to...Ch. 7 - Finding a Random Sample You need to select a...Ch. 7 - Random Sampling Assume your class has 30 students...Ch. 7 - Random Sampling with Coins Assume your class has...Ch. 7 - Survey Response (Example 6) A school district...Ch. 7 - Survey Response To determine if patrons are...Ch. 7 - Views on Capital Punishment In carrying out a...Ch. 7 - Views on Capital Punishment Use the data given in...Ch. 7 - Targets: Bias or Lack of Precision? a. If a...Ch. 7 - Targets: Bias or Lack of Precision, Again a. If a...Ch. 7 - Bias? Suppose that, when taking a random sample of...Ch. 7 - Unbiased Sample? 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Solution Summary: The author calculates the number of people who believe that to maintain a strong democracy, it is essential to protect the rights of those with unpopular views.

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