Introductory Statistics
3rd Edition
ISBN: 9780135188927
Author: Gould, Robert, Ryan, Colleen N. (colleen Nooter)
Publisher: Pearson,
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Textbook Question
Chapter 7, Problem 91CRE
Margin of Error A poll on a proposition showed that we are
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A magazine article conducted a survey of 807
people in Phoenix metro area and found that 45% of the
population believe that the suns will win the NBA finals
next year. In the accompanying dialogue, the article
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will win the NBA finals next year lies between 41% and
49%. What does 4% represent in the article?
OA. a statistic
B. a margin of error
O C. a confidence interval
D. a confidence level
E. a parameter
n politics, marketing, etc. we often want to estimate a percentage or proportion p. One calculation in statistical polling is the margin of error - the largest (reasonble) error that the poll could have. For example, a poll result of 72% with a margin of error of 4% indicates that p is most likely to be between 68% and 76% (72% minus 4% to 72% plus 4%).
In a (made-up) poll, the proportion of people who like dark chocolate more than milk chocolate was 34% with a margin of error of 1.3%. Describe the conclusion about p using an absolute value inequality.
In a recent poll, 360 people were asked if they preferred cats or dogs. 49% said they preferred dogs and 51% of people said they preferred cats, with a margin of error of 2%. Which statement is true?
A. In general, people prefer dogs.
B. The number of people that prefer dogs is between 47% and 51%, and the number of people that prefer cats is between 49% and 53%
C. In general, people prefer cats.
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? Suppose you attend a school that...Ch. 7 - Proportion of Odd Digits A large collection of...Ch. 7 - Proportion of Odd Digits...Ch. 7 - Prob. 31SECh. 7 - Prob. 32SECh. 7 - ESP A Zener deck of cards has cards that show one...Ch. 7 - ESP Again In the graphs for Exercise 7.33, explain...Ch. 7 - Standard Error Which of the dotplots given in...Ch. 7 - Bias? Assuming that the true proportion of success...Ch. 7 - Fair Coin? One of the graphs shows the proportion...Ch. 7 - Far from Fair Which of the graphs in Exercise 7.37...Ch. 7 - Variation in Sample Proportions (Example 7)...Ch. 7 - Variation in Sample Proportions Suppose it is...Ch. 7 - Driver’s License (Example 8) According to a 2017...Ch. 7 - BA Attainment According to a 2017 Pew Research...Ch. 7 - Stress (Example 9) According to a 2017 Gallup...Ch. 7 - Prob. 44SECh. 7 - Streaming Services (Example 10) According to a...Ch. 7 - Prob. 46SECh. 7 - Voting According to a 2017 Pew Research Center...Ch. 7 - Instagram According to a 2018 Pew Research Center...Ch. 7 - Super Bowl In 2018 it was estimated that...Ch. 7 - College Enrollment According to data released in...Ch. 7 - Color Blindness While the majority of people who...Ch. 7 - Blood Type Human blood is divided into 8 possible...Ch. 7 - Prob. 53SECh. 7 - Environment A 2017 Gallup poll found that 601 out...Ch. 7 - Gun Control According to a 2017 Gallup Poll, 617...Ch. 7 - Smokers According to a 2017 Gallup poll, 572 out...Ch. 7 - Voting A random sample of likely voters showed...Ch. 7 - Voting A random sample of likely voters showed...Ch. 7 - Prob. 59SECh. 7 - Diabetes In a simple random sample of 1200...Ch. 7 - Marijuana Legalization A 2017 Gallup poll reported...Ch. 7 - Organic Produce A 2016 Pew Research poll found...Ch. 7 - Democracy and Unpopular Views A 2017 survey of...Ch. 7 - Democracy and Free Press A 2017 survey of U.S....Ch. 7 - Winter Olympics (Example 12) According to a 2018...Ch. 7 - Marijuana Use The Gallup poll reported that 45 of...Ch. 7 - Past Presidential Vote In the 1960 presidential...Ch. 7 - Batting Averages The website www.mlb.com compiles...Ch. 7 - Picky Eaters (Example 13) In a 2017 Harris poll...Ch. 7 - Nutrition Labels Of 1019 U.S. adults responding to...Ch. 7 - Prob. 71SECh. 7 - Estimating Sample Size In the 2018 study Closing...Ch. 7 - Happiness A Harris poll asked Americans in 2016...Ch. 7 - Artificial Intelligence A Harris poll asked a...Ch. 7 - Democratic (Examples 15, 16, 17, 18) Voters and...Ch. 7 - Trust in Judiciary In 2016 and 2017 Gallup asked...Ch. 7 - Perry Preschool and Graduation from High School...Ch. 7 - Preschool: Just the Boys Refer to Exercise 7.77...Ch. 7 - Prob. 79SECh. 7 - Sugar-Sweetened Beverages In 2017, the journal...Ch. 7 - Gender and Use of Turn Signals Statistics student...Ch. 7 - Local TV News Pew Research reported that 46 of...Ch. 7 - Drug for Nausea Ondansetron (Zofran) is a drug...Ch. 7 - Preschool: Just the Girls The Perry Preschool...Ch. 7 - Prob. 85CRECh. 7 - College Enrollment (Women) According to the Bureau...Ch. 7 - Prob. 87CRECh. 7 - Technology Anxiety In a 2018 survey conducted by...Ch. 7 - Sample Proportion A poll on a proposition showed...Ch. 7 - Sample Proportion A poll on a proposition showed...Ch. 7 - Margin of Error A poll on a proposition showed...Ch. 7 - Margin of Error A poll on a proposition showed...Ch. 7 - Dreaming in Color According to studies done in the...Ch. 7 - Hand Washing Ignaz Semmelweiss (1818-1865) was the...Ch. 7 - Prob. 95CRECh. 7 - School Bond Suppose a political consultant is...Ch. 7 - Prob. 97CRECh. 7 - Prob. 98CRECh. 7 - Voters Poll: Sample Size A polling agency wants to...Ch. 7 - Ratio of Sample Sizes Find the sample size...Ch. 7 - Criticize the Sampling Marco is interested in...Ch. 7 - Criticize the Sampling Maria opposes capital...Ch. 7 - Random Sampling? If you walked around your school...Ch. 7 - Biased Sample? You want to find the mean weight of...Ch. 7 - Bias? Suppose that, when taking a random sample of...Ch. 7 - Bias? Four women selected from a photo of 123 were...Ch. 7 - Sample Size Formula (Part 1) From Formula 7.2, an...Ch. 7 - Sample Size Formula (Part 2) Using your result...
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