Introductory Statistics (2nd Edition)
2nd Edition
ISBN: 9780321978271
Author: Robert Gould, Colleen N. Ryan
Publisher: PEARSON
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Textbook Question
Chapter 7, Problem 79CRE
Margin of Error A poll on a proposition showed that we are
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Students have asked these similar questions
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
states, we are 97% confident that the true proportion of
people in Phoenix metro area who believe that the suns
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
Find another classmate’s initial post and write down the margin of error that they calculated. You will use that value in another context.
As another election cycle begins this fall, you will likely hear newscasters state poll data and then mention the margin of error. For example:
"Polls show that among likely voters in the Make-Believetown Governor’s race, Bad Wolf is currently leading with 43% of expected votes, Little Pig has 41%, and 16% are undecided. The poll has a margin of error of 4%.”
Instead of the 4% margin of error currently in the example, use the margin of error from your classmate as the new margin of error% for the poll.
Write a brief paragraph explaining who you believe will be the next imaginary governor of Make Believetown and why. Use the information you know about the margin of error to make your case.
My new margin of error for classmates is 10.08408.
Polls show that among likely voters in the
Make-Believetown Governor's race, Bad Wolf
is currently leading with 43% of expected
votes, Little Pig has 41%, and 16% are
undecided. The poll has a margin of error of
4.51%.
Write a brief paragraph explaining who you
believe will be the next imaginary governor of
Make Believetown and why. Use the
information you know about the margin of
error to make your case.
Chapter 7 Solutions
Introductory Statistics (2nd Edition)
Ch. 7 - Parameter vs. Statistic (Example 1) Explain the...Ch. 7 - Sample vs. Census Explain the difference between a...Ch. 7 - x vs. Two symbols are used for the mean: and x....Ch. 7 - xvs. The mean GPA of all 5000 students at Uneeda...Ch. 7 - Ages of Presidents Suppose you knew the age at...Ch. 7 - Heights of Basketball Team Suppose you find all...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 - Questionnaire Response (Example 3) A teacher at a...Ch. 7 - Survey on Social Security A phone survey asked...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. 25SECh. 7 - Prob. 26SECh. 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 - What Is the Proportion of Seniors? (Example 5) A...Ch. 7 - Simulation From a very large (essentially...Ch. 7 - MMs (Example 5) Return to Exercise 7.25 and find...Ch. 7 - Random Letters Return to Exercise 7.26 and find...Ch. 7 - Jury Selection (Example 6) Juries should have the...Ch. 7 - Mercury in Freshwater Fish According to an article...Ch. 7 - The Oregon Bar Exam (Example 7) According to the...Ch. 7 - Feeding Vegans A survey of eating habits showed...Ch. 7 - Overweight Children The Ventura County Star (June...Ch. 7 - Living in Poverty The Ventura County Star article...Ch. 7 - Passing a Test by Guessing A true/false test has...Ch. 7 - Gender: Randomly Chosen? A large community college...Ch. 7 - Prob. 45SECh. 7 - Is Marriage Becoming Obsolete? When asked whether...Ch. 7 - East Germany According to a Gallup Poll taken in...Ch. 7 - View of Immigration In June 2012, a Gallup Poll...Ch. 7 - Voting A random sample of likely voters showed...Ch. 7 - Voting A random sample of likely voters showed...Ch. 7 - High School Diplomas (Example 8) In a simple...Ch. 7 - Diabetes In a simple random sample of 1200...Ch. 7 - Confidence in Public Schools A 2012 Gallup Poll...Ch. 7 - Confidence in the Military In June 2012, a Gallup...Ch. 7 - Thriving In June 2012, a Gallup Poll showed that...Ch. 7 - Benefits of Rich Class In May 2012, a Gallup Poll...Ch. 7 - Understanding the Meaning of Confidence Levels: 90...Ch. 7 - Understanding the Meaning of Confidence Levels: 80...Ch. 7 - Past Presidential Vote In the 1960 presidential...Ch. 7 - Human Cloning In a Gallup Poll, 441 of 507 adults...Ch. 7 - Do People Think Astrology Is Scientific? (Example...Ch. 7 - Do People Think the Sun Goes around the Earth? In...Ch. 7 - Good News on Jobs The Pew Research Center reports...Ch. 7 - Obesity In a 2013 Pew Poll, 36#37; of Republicans...Ch. 7 - Stressed Moms (Example 11, 12, 13, and 14) An...Ch. 7 - Gay Marriage According to the Pew Research Center,...Ch. 7 - Perry Preschool and Graduation from High School...Ch. 7 - Preschool: Just the Boys Refer to Exercise 7.77...Ch. 7 - Antibiotics for Malnutrition (Example 15) A study...Ch. 7 - Transfusions for Bleeding in the Stomach Should...Ch. 7 - Gender and Use of Turn Signals Statistics student...Ch. 7 - Diet Drug (Meridia) A randomized,...Ch. 7 - Drug for Nausea Ondansetron (Zofran) is a drug...Ch. 7 - Preschool: Just the Girls The Perry Preschool...Ch. 7 - Banning Super-Size Sugary Drinks A June 2012...Ch. 7 - Banning Smoking A July 2011 Roper Poll showed that...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 - Prob. 81CRECh. 7 - Prob. 82CRECh. 7 - Dreaming in Color According to studies done in the...Ch. 7 - Hand Washing Ignaz Semmelweiss (1818-1865) was the...Ch. 7 - Romney vs. Santorum During the Republican primary...Ch. 7 - Sampling Error In March 2012, President Obama's...Ch. 7 - Young Women's Career Goals Are the career goals of...Ch. 7 - Young Men's Career Goals Are the career goals of...Ch. 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...
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- 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.arrow_forwardGap, Banana Republic, J. Crew, Yahoo, and America Online are just a few of the many companies interested in knowing the percentage of adults who buy clothing online. How many adults must be surveyed in order to be 95% confident that the sample percentage is in error by no more than three percentage points? Use this recent result from the Census Bureau: 66% of adults buy clothing online.arrow_forwardThe election is coming up in three weeks, and you’d like one last poll to see where things stand. Last month’s poll showed your candidate had 55% support, and you want to know what percent of the voters would vote for your candidate if the election were held today. You want 95% confidence in your answer, with a margin of error no more than 3%. Determine how many voters you need to survey.arrow_forward
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