Statistics: The Art and Science of Learning from Data (4th Edition)
4th Edition
ISBN: 9780321997838
Author: Alan Agresti, Christine A. Franklin, Bernhard Klingenberg
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 8.2, Problem 15PB
Make industry help environment? When the 2006 GSS 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 (variable GRNLAWS), 1403 of 1497 subjects said yes.
- a. What assumptions are made to construct a 95% confidence interval for the population proportion who would say yes? Do they seem satisfied here?
- b. Construct the 95% confidence interval. Interpret in context. Can you conclude whether a majority or minority of the population would answer yes?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
. An educator was trying to determine the effect of remote learning on middle school aged children. They randomly selected 250 students who spent a full year with in person learning and 190 of them showed similar or improved scores on a set of metrics. They also randomly selected 350 student who spent the year remotely learning and 252 of them showed similar or improved scores.a. Construct a 95% confidence interval for the difference of proportions?
b. Based on the confidence interval can you conclude there is adifference between the two groups?
In a survey of 500 students, 180 students said that they prefer classes on Mondays and Wednesdays rather than on Tuesdays and Thursdays. Using a 95% confidence interval, answer the following questions.
a. What is the margin of error for this study?
b. Construct a 95% confidence interval that estimates the proportion of students that prefer classes on Mondays and Wednesdays.
The 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.
Chapter 8 Solutions
Statistics: The Art and Science of Learning from Data (4th Edition)
Ch. 8.1 - Health care A study dealing with health care...Ch. 8.1 - Video on demand A recent study from Nielsen...Ch. 8.1 - Projecting winning candidate News coverage during...Ch. 8.1 - Believe in hell? Using the General Social Survey...Ch. 8.1 - Government spying In 2014, news reports worldwide...Ch. 8.1 - Game apps The Google Play app store for...Ch. 8.1 - Nutrient effect on growth rate Researchers are...Ch. 8.1 - Believe in heaven? When a GSS asked 1326 subjects,...Ch. 8.1 - Feel lonely often? The GSS has asked On how many...Ch. 8.1 - CI for loneliness Refer to the previous exercise....
Ch. 8.2 - Putin A Gallup poll of 2000 Russians taken between...Ch. 8.2 - Flu shot In a clinical study (the same as...Ch. 8.2 - How green are you? When the 2000 GSS asked...Ch. 8.2 - Make industry help environment? When the 2006 GSS...Ch. 8.2 - Favor death penalty In the 2012 General Social...Ch. 8.2 - Oppose death penalty Refer to the previous...Ch. 8.2 - Stem cell research A Harris poll of a random...Ch. 8.2 - z-score and confidence level Which z-score is used...Ch. 8.2 - Believe in ghosts A Harris poll of a random sample...Ch. 8.2 - Stem cell research and religion In Exercise 8.18,...Ch. 8.2 - Fear of breast cancer A recent survey of 1000...Ch. 8.2 - Chicken breast In a 2014 Consumer Reports article...Ch. 8.2 - Same-sex marriage A national survey by the Pew...Ch. 8.2 - Exit poll predictions A national television...Ch. 8.2 - Exit poll with smaller sample In the previous...Ch. 8.2 - Simulating confidence intervals Repeat the...Ch. 8.2 - Simulating confidence intervals with poor coverage...Ch. 8.3 - Females ideal number of children The 2012 General...Ch. 8.3 - Males ideal number of children Refer to the...Ch. 8.3 - Using t-table Using Table B, the web app, software...Ch. 8.3 - Anorexia in teenage girls A study6 compared...Ch. 8.3 - Talk time on smartphones One feature smartphone...Ch. 8.3 - Heights of seedlings Exercise 8.7 reported heights...Ch. 8.3 - Buy it now Example 6 mentioned closing prices for...Ch. 8.3 - Time spent on e-mail When the GSS asked n = 1050...Ch. 8.3 - Grandmas using e-mail For the question about...Ch. 8.3 - Prob. 38PBCh. 8.3 - Prob. 39PBCh. 8.3 - Political views The General Social Survey asks...Ch. 8.3 - Prob. 41PBCh. 8.3 - Prob. 42PBCh. 8.3 - Effect of confidence level Find the margin of...Ch. 8.3 - Prob. 44PBCh. 8.3 - Number of children For the question, How many...Ch. 8.3 - Prob. 46PBCh. 8.4 - South Africa study The researcher planning the...Ch. 8.4 - Binge drinkers A study at the Harvard School of...Ch. 8.4 - Prob. 49PBCh. 8.4 - Prob. 50PBCh. 8.4 - Prob. 51PBCh. 8.4 - Farm size An estimate is needed of the mean...Ch. 8.4 - Prob. 53PBCh. 8.4 - Prob. 54PBCh. 8.4 - Prob. 55PBCh. 8.4 - Prob. 56PBCh. 8.4 - Prob. 57PBCh. 8.4 - Prob. 58PBCh. 8.5 - Why bootstrap? Explain the purpose of using the...Ch. 8.5 - Estimating variability Refer to Example 11 about...Ch. 8.5 - Bootstrap interval for the mean In 2014, the...Ch. 8.5 - Prob. 62PBCh. 8 - Unemployed college grads The U.S Bureau of the...Ch. 8 - Prob. 64CPCh. 8 - Prob. 65CPCh. 8 - Born again A poll of a random sample of n = 2000...Ch. 8 - Life after death The variable POSTLIFE in the 2012...Ch. 8 - Prob. 68CPCh. 8 - Prob. 69CPCh. 8 - Prob. 70CPCh. 8 - Prob. 71CPCh. 8 - Wife supporting husband Consider the statement...Ch. 8 - Legalize marijuana? The General Social Survey has...Ch. 8 - Prob. 74CPCh. 8 - Streaming A Harris Poll of 2300 U.S. adults...Ch. 8 - Prob. 76CPCh. 8 - Prob. 77CPCh. 8 - Grandpas using e-mail When the GSS asked in 2012,...Ch. 8 - Prob. 79CPCh. 8 - Prob. 80CPCh. 8 - Fuel efficiency The government website...Ch. 8 - Prob. 82CPCh. 8 - Prob. 83CPCh. 8 - Prob. 84CPCh. 8 - Prob. 85CPCh. 8 - Prob. 86CPCh. 8 - Prob. 87CPCh. 8 - Revisiting mountain bikes Use the Mountain Bike...Ch. 8 - Prob. 89CPCh. 8 - Prob. 90CPCh. 8 - Prob. 91CPCh. 8 - Prob. 92CPCh. 8 - Working mother In response to the statement on a...Ch. 8 - Miami spring break For a trip to Miami, Florida,...Ch. 8 - Prob. 95CPCh. 8 - Prob. 96CPCh. 8 - Prob. 97CPCh. 8 - Prob. 98CPCh. 8 - Prob. 99CPCh. 8 - Prob. 100CPCh. 8 - Kicking accuracy A football coach decides to...Ch. 8 - Prob. 103CPCh. 8 - Prob. 104CPCh. 8 - Prob. 106CPCh. 8 - Width of a confidence interval Why are confidence...Ch. 8 - Prob. 108CPCh. 8 - Prob. 109CPCh. 8 - Prob. 110CPCh. 8 - Prob. 111CPCh. 8 - Prob. 112CPCh. 8 - Prob. 113CPCh. 8 - Prob. 114CPCh. 8 - Prob. 115CPCh. 8 - Prob. 116CPCh. 8 - Prob. 117CPCh. 8 - Prob. 118CPCh. 8 - Prob. 119CPCh. 8 - Prob. 120CPCh. 8 - Prob. 121CPCh. 8 - Prob. 122CPCh. 8 - Prob. 123CPCh. 8 - Why called degrees of freedom? You know the sample...Ch. 8 - Prob. 125CPCh. 8 - Prob. 126CPCh. 8 - Median as point estimate When the population...
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
- 4. An investigative reporter contacts a random sample of hotels, and finds a 95% confidence interval for the proportion of hotels in the United States that have reported having bedbugs is (0.04, 0.11). a. Interpret this confidence interval in context.arrow_forward17arrow_forwardA genetic experiment with peas resulted in one sample of offspring that consisted of 437 green peas and 156 yellow peas. a. Construct a 90% confidence interval to estimate of the percentage of yellow peas. ... It was expected that 25% of the offspring peas would be yellowarrow_forward
- 3.arrow_forwardSuppose we wish to estimate the average number of hours per week that Americans watch TV. Use the following data from an SRS to find a 90% confidence interval: 30 64 49 40 21 58 9 43 39 43arrow_forwardAfter surveying students at a college, a campus organization calculated that a 95% confidence interval for the mean cost of food for one term is ($1372, $1562). Now the organization is trying to write its report and is considering the following interpretations. Comment on each. Complete parts a through e below. Question content area bottom Part 1 a) 95% of all students pay between $1372 and $1562 for food. Comment on the given interpretation. Choose the correct answer below. A. The interpretation is incorrect. A confidence interval is not about individuals in the population. B. The interpretation is incorrect. A confidence interval estimates a sample parameter. C. The interpretation is correct. A confidence interval estimates a population parameter. D. The interpretation is incorrect. A confidence interval is not about a population parameter. Part 2 b) 95% of the sampled students paid between $1372 and $1562. Comment on the…arrow_forward
- A newspaper reported that 68% of people say that some coffee shops are overpriced. The source of this information was a telephone survey of 500 adults. a. Identify the population of interest in this study. b. Identify the sample for the study. 7 c. Identify the parameter of interest in the study. d. Find and interpret a 90% confidence interval for the parameter of interest. a. Identify the population of interest. Choose the correct answer below. coffee shops O adults O 500 adults b. Identify the sample. Choose the correct answer below. O a telephone survey newspapers coffee shops O c. Identify the parameter of interest. Choose the correct answer below. OA. p, the population proportion of adults who say that some coffee shops are overpriced OB. o2, the population variance of adults who say that some coffee shops are overpriced OC. p, the sample proportion of adults who say that some coffee shops are overpriced OD. x, the sample mean number of adults who say that some coffee shops are…arrow_forwardIn a poll, 1100 adults in Nantucket were asked about their computer gaming habits. One finding was that 43% of respondents never computer game. Find and interpret a 95% confidence interval for the proportion of all adults in Nantucket who never play computer gamesarrow_forwardA newspaper reported that 80% of people say that some coffee shops are overpriced. The source of this information was a telephone survey of 100 adults. a. Identify the population of interest in this study. b. Identify the sample for the study. c. Identify the parameter of interest in the study. d. Find and interpret a 90% confidence interval for the parameter of interest. a. Identify the population of interest. Choose the correct answer below. coffee shops a telephone survey 80% of adults newspapers 100 adults adults b. Identify the sample. Choose the correct answer below. adults a telephone survey 100 adults 80% of adults newspapers coffee shops c. Identify the parameter of interest. Choose the correct answer below. A. p, the population proportion of adults who say that some coffee shops are overpriced B. o, the population variance of adults who say that some coffee shops are overpriced С. p, the sample proportion of adults who say that some coffee shops are overpriced D. X, the…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
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
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Statistics 4.1 Point Estimators; Author: Dr. Jack L. Jackson II;https://www.youtube.com/watch?v=2MrI0J8XCEE;License: Standard YouTube License, CC-BY
Statistics 101: Point Estimators; Author: Brandon Foltz;https://www.youtube.com/watch?v=4v41z3HwLaM;License: Standard YouTube License, CC-BY
Central limit theorem; Author: 365 Data Science;https://www.youtube.com/watch?v=b5xQmk9veZ4;License: Standard YouTube License, CC-BY
Point Estimate Definition & Example; Author: Prof. Essa;https://www.youtube.com/watch?v=OTVwtvQmSn0;License: Standard Youtube License
Point Estimation; Author: Vamsidhar Ambatipudi;https://www.youtube.com/watch?v=flqhlM2bZWc;License: Standard Youtube License