3rd Edition

ISBN: 9780135163146

Author: Gould

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

Chapter 7 Solutions

INTRODUCTORY STATISTICS (LOOSELEAF)

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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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