Statistical Reasoning for Everyday Life (5th Edition)
5th Edition
ISBN: 9780134494043
Author: Jeff Bennett, William L. Briggs, Mario F. Triola
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 8.1, Problem 18E
Sample and Population Proportions. The College of Portland has a total enrollment of N = 2444 students and 269 of them are left-handed. You conduct a survey of n = 50 students and find that 8 of them are left-handed.
- a. What is the population proportion, p, of left-handed students?
- b. What is the sample proportion,
- c. If the sample proportion differs from the population proportion by a large amount, does that imply that the sampling method is flawed? Explain.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
That is the percentage of individual adult females, now, what is the percentage of samples of 64 adult women between 74kg and 84kg
Suppose a cable network wants to determine the current percentage of customers who are under the age of twenty. How many customers should the network survey in order to be 90% confident that the estimated (sample) proportion is within 3 percentage points of the true population proportion of customers who are under the age of twenty?
z0.10
z0.05
z0.025
z0.01
z0.005
1.282
1.645
1.960
2.326
2.576
On election day, a local TV news organization stayed at three polling locations in Fairfield county and asked voters whether they voted for candidate A in the election for the US Senate seat. The ’yes’ responses they got were 520 out of 945, 475 out of 865, and 485 out of 980 in the three different locations. They aggregated the sample data into 1480 out of 2790 and after the 8pm close of the election reported their sample results to viewers. a) Go through the steps of a significance test to determine whether or not candidate A won the election. b) Based on the above sample data, at 8:01pm the news organization reported their estimate of the percentage of votes candidate A received and the margin of error of their poll. Calculate these numbers. They then aired their prediction that candidate A won the election. Discuss any concerns you have with their decision to report their prediction.
Chapter 8 Solutions
Statistical Reasoning for Everyday Life (5th Edition)
Ch. 8.1 - Sampling Distribution. Distinguish between a...Ch. 8.1 - Sampling Error. What is a sampling error? How does...Ch. 8.1 - Sample Means and Proportions. What is a sample...Ch. 8.1 - Sample Size. How does the sample size affect how...Ch. 8.1 - Does It Make Sense? For Exercises 58, determine...Ch. 8.1 - Does It Make Sense? For Exercises 58, determine...Ch. 8.1 - Does It Make Sense? For Exercises 58, determine...Ch. 8.1 - Does It Make Sense? For Exercises 58, determine...Ch. 8.1 - Notation. In Exercises 912, identify the notation...Ch. 8.1 - Notation. In Exercises 912, identify the notation...
Ch. 8.1 - Prob. 11ECh. 8.1 - Notation. In Exercises 912, identify the notation...Ch. 8.1 - Prob. 13ECh. 8.1 - Estimating Population Means. When 50 adult females...Ch. 8.1 - Distribution of Sample Means. Assume that cans of...Ch. 8.1 - Distribution of Sample Means. Assume that the...Ch. 8.1 - Sample and Population Proportions. A population...Ch. 8.1 - Sample and Population Proportions. The College of...Ch. 8.1 - Sampling Distribution. A quarterback threw 1...Ch. 8.1 - Sampling Distributions. The ages (in years) of the...Ch. 8.1 - Distributions of Sample Means. In Exercises 2124,...Ch. 8.1 - Distributions of Sample Means. In Exercises 2124,...Ch. 8.1 - Distributions of Sample Means. In Exercises 2124,...Ch. 8.1 - Distributions of Sample Means. In Exercises 2124,...Ch. 8.1 - Distributions of Sample Proportions. In Exercises...Ch. 8.1 - Distributions of Sample Proportions. In Exercises...Ch. 8.1 - Prob. 27ECh. 8.1 - Prob. 28ECh. 8.2 - Statistical Literacy and Critical Thinking...Ch. 8.2 - Margin of Error and Confidence Interval. If you...Ch. 8.2 - 95% Confidence Interval. Once you have constructed...Ch. 8.2 - Sample Size. Suppose you seek a particular margin...Ch. 8.2 - Does It Make Sense? For Exercises 58, determine...Ch. 8.2 - Does It Make Sense? For Exercises 58, determine...Ch. 8.2 - Does It Make Sense? For Exercises 58, determine...Ch. 8.2 - Does It Make Sense? For Exercises 58, determine...Ch. 8.2 - Concepts and Applications Confidence Interval. One...Ch. 8.2 - Margin of Error. Based on a random sample of 48...Ch. 8.2 - Prob. 11ECh. 8.2 - Sample Size. The National Health Examination...Ch. 8.2 - Margins of Error and Confidence Intervals. For...Ch. 8.2 - Margins of Error and Confidence Intervals. For...Ch. 8.2 - Margins of Error and Confidence Intervals. For...Ch. 8.2 - Margins of Error and Confidence Intervals. For...Ch. 8.2 - Sample Sizes. In Exercises 1720, assume that you...Ch. 8.2 - Sample Sizes. In Exercises 1720, assume that you...Ch. 8.2 - Prob. 19ECh. 8.2 - Sample Sizes. In Exercises 1720, assume that you...Ch. 8.2 - 21. Sample Size for TV Survey. Nielsen Media...Ch. 8.2 - Sample Size for Housing Prices. A government...Ch. 8.2 - Sample Size for Mean IQ Score of Californians. The...Ch. 8.2 - Sample Size for Estimating Income. An economist...Ch. 8.2 - Weight of Quarters. You want to estimate the mean...Ch. 8.2 - Weights of Babies. A sample of 100 babies born at...Ch. 8.2 - Time to Graduation. Data from the National Center...Ch. 8.2 - Garbage Production. Based on a sample of 62...Ch. 8.2 - Weights of Bears. The health of the bear...Ch. 8.2 - Cotinine Levels of Smokers. When people smoke, the...Ch. 8.2 - Chocolate Chips. One of the authors of this text...Ch. 8.2 - Prob. 32ECh. 8.3 - Estimating a Population Proportion. Suppose you...Ch. 8.3 - Margin of Error and Confidence Interval. If you...Ch. 8.3 - 95% Confidence Interval. Once you have constructed...Ch. 8.3 - Sample Size. How can you determine an appropriate...Ch. 8.3 - Does It Make Sense? For Exercises 58, determine...Ch. 8.3 - Does It Make Sense? For Exercises 58, determine...Ch. 8.3 - Does It Make Sense? For Exercises 58, determine...Ch. 8.3 - Does It Make Sense? For Exercises 58, determine...Ch. 8.3 - Confidence Interval. The Journal of the American...Ch. 8.3 - Margin of Error. In a study of 1228 randomly...Ch. 8.3 - Confidence Intervals in the Media. Here is a...Ch. 8.3 - Notation. In a Pew Research Center poll, 73% of...Ch. 8.3 - Margins of Error and Confidence Intervals. In...Ch. 8.3 - Margins of Error and Confidence Intervals. In...Ch. 8.3 - Margins of Error and Confidence Intervals. In...Ch. 8.3 - Margins of Error and Confidence Intervals. In...Ch. 8.3 - Sample Size. In Exercises 1720, assume that you...Ch. 8.3 - Sample Size. In Exercises 1720, assume that you...Ch. 8.3 - Sample Size. In Exercises 1720, assume that you...Ch. 8.3 - Sample Size. In Exercises 1720, assume that you...Ch. 8.3 - Nielsen Ratings. Nielsen Media Research uses...Ch. 8.3 - Prob. 22ECh. 8.3 - Hazing of Athletes. A study done by researchers at...Ch. 8.3 - McDonalds Orders. In a study of the accuracy of...Ch. 8.3 - Prob. 25ECh. 8.3 - Global Warming. A Pew Research Center poll...Ch. 8.3 - Drugs in Movies. A study by Stanford University...Ch. 8.3 - Eliquis. The drug Eliquis is used to help prevent...Ch. 8.3 - Prob. 29ECh. 8.3 - Prob. 30ECh. 8.3 - Opinion Poll. A poll finds that 54% of the...Ch. 8.3 - Concealed Weapons. Two-thirds (or 66.6%) of 626...Ch. 8 - One of Mendels famous genetics experiments yielded...Ch. 8 - We want to estimate the mean IQ score for the...Ch. 8 - Prob. 3CRECh. 8 - Prob. 4CRECh. 8 - Prob. 1CQCh. 8 - Prob. 2CQCh. 8 - Prob. 3CQCh. 8 - Prob. 4CQCh. 8 - Assume that we want to estimate the mean annual...Ch. 8 - A random sample of 235 females and 240 males is...Ch. 8 - Prob. 7CQCh. 8 - Prob. 8CQCh. 8 - Prob. 9CQCh. 8 - Prob. 10CQCh. 8 - History Where Did Statistics Begin? The origins of...Ch. 8 - Prob. 2.1F
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
- A senator wishes to estimate the proportion of United States voters who favor abolishing the electoral college. how large a sample is needed in order to be 98% confident that the sample proportion will not differ from the true proportion by more than 3%?arrow_forwardAngela wants to estimate the mean number of siblings for each student in her school. She records the number of siblings for each of 200randomly selected students in the school. What is the data?arrow_forwardA researcher will conduct a study on the economic situation of young people between the ages of 18-25 in Izmir, Antalya and Trabzon. It is known that there are 500 thousand young people between the ages of 18-25 in Izmir, 400 thousand in Antalya and 300 thousand in Trabzon. If they want such a study from you,How would you determine the sample? At least how many people would your sample consist of? Describe in detail.arrow_forward
- The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level. Step 1 of 2: Suppose a sample of 333 tenth graders is drawn. Of the students sampled, 260 read above the eighth grade level. Using the data, estimate the proportion of tenth graders reading at or below the eighth grade level. Enter your answer as a fraction or a decimal number rounded to three decimal places. Step 2 of 2: Suppose a sample of 333 tenth graders is drawn. Of the students sampled, 260 read above the eighth grade level. Using the data, construct the 80% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level. Round your answers to three decimal places.arrow_forward) A recent poll surveyed 1587 adults (18 years of age and older, residing in the contiguous United States, contacted by phone from randomly selected homes). Residents who agreed to participate were categorized according to their political party preference (Democrat, Republican or other) and their gender (male or female). To make life easier, we’ll focus on the responses from the south (37% of the sample or 588 people). Our question is about the “Gender Gap” in American politics (the gender gap is described as differences in voting preferences for men and women). Is voting preference independent of gender? What test should you use and why?arrow_forwardA polisher wishes to estimate the proportion of United States voters who favor capital punishment. How large a sample is needed in order to be 98% confident that the sample proportion will not differ from the true proportion by more than 3%arrow_forward
- If sum of the values in data is 20 and the sample mean is 4 then number of observation in the data set is ?arrow_forwardA researcher wished to estimate the difference between the proportion of users of two shampoos who are satisfied with the product. In a sample of 400 users of Shampoo A taken by this researcher, 78 said they are satisfied. In another sample of 500 users of Shampoo B taken by the same researcher, 92 said they were satisfied.arrow_forwardA health organization wants to estimate the population proportion of Ohioans who have received the flu vaccine this year. Before starting this study, they need to know how many Ohioans need to be surveyed to be 99% confident that they are within 4% of the true population proportion. What is the sample size needed for this study?arrow_forward
- What is the sample proportion of boys that attempted suicide (rounded off to four decimals What is the sample proportion of girls that attempted suicide rounded off to four decimals Calculate the difference in proportion between girls and the boys rounded off to four decimals.arrow_forwarda recent poll reports that between 53% and 59% of voters will vote for president george in the next election. What do you know about the sample statistics and the margin of error on the survey?arrow_forwardThe state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level. Step 1 of 2: Suppose a sample of 292 tenth graders is drawn. Of the students sampled, 240 read above the eighth grade level. Using the data, estimate the proportion of tenth graders reading at or below the eighth grade level. Enter your answer as a fraction or a decimal number rounded to three decimal places.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Hypothesis Testing using Confidence Interval Approach; Author: BUM2413 Applied Statistics UMP;https://www.youtube.com/watch?v=Hq1l3e9pLyY;License: Standard YouTube License, CC-BY
Hypothesis Testing - Difference of Two Means - Student's -Distribution & Normal Distribution; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=UcZwyzwWU7o;License: Standard Youtube License