Intro Statistics - Student's Solution Manual
4th Edition
ISBN: 9780321825483
Author: DeVeaux
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 16, Problem 34E
Back to campus ACT, Inc. reported that 74% of 1644 randomly selected college freshmen returned to college the next year. The study was stratified by type of college—public or private. The retention rates were 71.9% among 505 students enrolled in public colleges and 74.9% among 1139 students enrolled in private colleges.
- a) Will the 95% confidence interval for the true national retention rate in private colleges be wider or narrower than the 95% confidence interval for the retention rate in public colleges? Explain.
- b) Do you expect the margin of error for the overall retention rate to be larger or smaller? Explain.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
In September 2011, Gallup surveyed 1,004 American adults and asked them whether they blamed Barack Obama a great deal, a moderate amount, not much, or not at all for U.S. economic problems. The results showed that 53% of respondents blamed Barack Obama a great deal or a moderate amount.
Calculate the 99% confidence interval for the proportion of all American adults who blame Barack Obama a great deal or a moderate amount for U.S. economic problems.
In a survey of 600 personnel directors, 40% thought that they would be hiring new personnel over the next three months.
(a) Construct a 97% confidence interval for the proportion of all personnel directors planning to hire personnel over the next three months?
(b) What is margin of error used in (a)?
(c) Find the necessary sample size, if they wish to be accurate within 3% of the true proportion.
Suppose that a safety group surveyed
1,100
drivers. Among those surveyed,
65%
said that careless or aggressive driving was the biggest threat on the road, and
25%
said that cell phone usage by other drivers was the driving behavior that annoyed them the most. Based on these data and assuming that the sample was a simple random sample, construct and interpret a
95%
confidence interval estimate for the true proportion in the population of all drivers who are annoyed by cell phone users.
The confidence interval estimate is
??––––––??>
(Round to three decimal places as needed. Use ascending order.)
Interpret the confidence interval estimate.
A.
There is a
0.95
probability that the population proportion of drivers who are annoyed by cell phone users is in the interval.
B.
There is
95%
confidence that the population proportion of drivers who are annoyed by cell phone users is in the interval.
C.
There is
95%
confidence that the population proportion…
Chapter 16 Solutions
Intro Statistics - Student's Solution Manual
Ch. 16.1 - A Pew Research study regarding cell phones asked...Ch. 16.1 - Prob. 2JCCh. 16.1 - A Pew Research study regarding cell phones asked...Ch. 16.1 - Prob. 4JCCh. 16.1 - Prob. 5JCCh. 16.2 - Prob. 6JCCh. 16.2 - Prob. 7JCCh. 16.2 - Prob. 8JCCh. 16 - Prob. 1ECh. 16 - Prob. 2E
Ch. 16 - Prob. 3ECh. 16 - Prob. 4ECh. 16 - Prob. 5ECh. 16 - 6. I asked, “How’s life?” In the Gallup poll...Ch. 16 - Prob. 7ECh. 16 - Prob. 8ECh. 16 - Margin of error A TV newscaster reports the...Ch. 16 - Another margin of error A medical researcher...Ch. 16 - Conditions For each situation described below,...Ch. 16 - More conditions Consider each situation described....Ch. 16 - Conclusions A catalog sales company promises to...Ch. 16 - More conclusions In January 2002, two students...Ch. 16 - Confidence intervals Several factors are involved...Ch. 16 - Confidence intervals, again Several factors are...Ch. 16 - Cars What fraction of cars made in Japan? The...Ch. 16 - Prob. 18ECh. 16 - Prob. 19ECh. 16 - Prob. 20ECh. 16 - Prob. 21ECh. 16 - Prob. 22ECh. 16 - 23. Contributions, please The Paralyzed Veterans...Ch. 16 - Take the offer First USA, a major credit card...Ch. 16 - Teenage drivers An insurance company checks police...Ch. 16 - Junk mail Direct mail advertisers send...Ch. 16 - Prob. 27ECh. 16 - Prob. 28ECh. 16 - Prob. 29ECh. 16 - Gambling A city ballot includes a local initiative...Ch. 16 - Rickets Vitamin D, whether ingested as a dietary...Ch. 16 - Teachers A 2011 Gallup poll found that 76% of...Ch. 16 - Prob. 33ECh. 16 - Back to campus ACT, Inc. reported that 74% of 1644...Ch. 16 - Deer ticks Wildlife biologists inspect 153 deer...Ch. 16 - Prob. 36ECh. 16 - Graduation Its believed that as many as 25% of...Ch. 16 - Hiring In preparing a report on the economy, we...Ch. 16 - Prob. 39ECh. 16 - Prob. 40ECh. 16 - Prob. 41ECh. 16 - Another pilot study During routine screening, a...Ch. 16 - Prob. 43ECh. 16 - Amendment A TV news reporter says that a proposed...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- What is meant by the sample space of an experiment?arrow_forwardA telephone company has the business objective of wanting to estimate the proportion of households that would purchase an additional telephone line if it were made available at a reduced installation cost. Data is collected from a random sample of 500 households. The results indicate that 135 of the households would purchase the additional telephone line at a reduced installation cost. - construct a ninety nine percent confidence interval estimate for the population proportion of households that would purchase the additional telephone line.arrow_forwardThe International Nanny Association (INA) reports that in a sample of 928 in- home child care providers (nannies), 128 have passed the INA Nanny Credential Exam (2014 International Nanny Association Salary and Benefits Survey). A. Use Wilson’s adjustment to find a 95% confidence interval for the true proportion of all nannies who have passed the INA certification exam. B. We want to decide whether the proportion of who passed the INA certification exam exceeds than .12 answer both a and b.arrow_forward
- A college administrator is interested in determining the proportion of students who receive some sort of financial aid. Instead of examining the records for all students, the administrator randomly draws 120 students and finds that 48 of them are receiving financial aid. Use a 90% confidence interval to estimate the true proportion of students who receive financial aid.arrow_forwardSuppose that a safety group surveyed 800 drivers. Among those surveyed, 83% said that careless or aggressive driving was the biggest threat on the road, and 34% said that cell phone usage by other drivers was the driving behavior that annoyed them the most. Based on these data and assuming that the sample was a simple random sample, construct and interpret a 95% confidence interval estimate for the true proportion in the population of all drivers who are annoyed by cell phone users. The confidence interval estimate is ??––––––?? (Round to three decimal places as needed. Use ascending order.) Interpret the confidence interval estimate. A. There is a 0.95 probability that the population proportion of drivers who are annoyed by cell phone users is in the interval. B. There is 95% confidence that the population proportion of drivers who are annoyed by cell phone users is in the interval. C. There is a 0.95 probability that the sample proportion of drivers…arrow_forwardA regional survey of 561 companies asked the vice president of operations how satisfied he or she was with the software support received from the computer staff of the company. Suppose 187 of the 561 vice presidents said they were satisfied. What is the 99% confidence interval for the proportion of the population of vice presidents who would have said they were satisfied with the software support if a census had been taken?arrow_forward
- When a recent survey asked subjects whether it should or should not be the government's responsibility to impose strict laws to make industry do less damage to the environment, 1400 of 1496 subjects said yes. Construct the 95% confidence interval. Can you conclude whether or not a majority or minority of the population would answer yes?arrow_forwardThe following table shows the results of a survey in which 1017 adults from the United States, 1060 adults from Italy, and 1126 adults from Great Britain were asked the question: “Does climate change pose a large threat to the world?” Country Percentage That Responded “Yes” United States 27% Italy 49% Great Britain 31% Construct and interpret a 98% confidence interval for The population proportion of adults from the United States who say that climate change poses a large threat to the world. The population proportion of adults from Italy who say that climate change poses a large threat to the world. The population proportion of adults from Great Britain who say that climate change poses a large threat to the world.arrow_forwardConstruct a 99% confidence interval for the proportion of all motorbike license applications that are misplaced by the department of transport, if a survey found that 20 out of a sample of 175 applications had been misplaced.arrow_forward
- 2)The manager for a contractual ride-share company wants to construct a control chart for determining whether 10-drivers are under control with regard to the number of complaints filed. Accordingly, the manager sampled 100 reviews from last year for each driver, with the following results: Driver Number of Complaints 1 8 2 18 3 21 4 6 5 17 6 15 7 19 8 5 9 23 10…arrow_forwardGiven a large sample with a mean of 72 and a SEM of 10, input the smallest whole number (no decimal) that would fall outside a 95% confidence interval? It can either the upperbound or lowerbound.arrow_forwardIn a recent Zogby International Poll, nine of 48 respondents rated the likelihood of a terrorist attack in their community as “likely” or “very likely”. Use the “plus four” method to create a 98% confidence interval for the proportion of American adults who believe that a terrorist attack in their community is likely or very likely. Interpret your confidence interval.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Sampling Methods and Bias with Surveys: Crash Course Statistics #10; Author: CrashCourse;https://www.youtube.com/watch?v=Rf-fIpB4D50;License: Standard YouTube License, CC-BY
Statistics: Sampling Methods; Author: Mathispower4u;https://www.youtube.com/watch?v=s6ApdTvgvOs;License: Standard YouTube License, CC-BY