Concept explainers
(a)
To find out what kind of bias may be present here.
(a)
Answer to Problem 21E
It is a wording bias.
Explanation of Solution
It is given in the question that in the survey on the death penalty, the Gallup poll actually split the sample at random and asking the respondents to answer the question quoted earlier. Thus, according to the information provided by the question we can conclude that the bias that may be present in this is wording bias as they are asking the questions from the respondents.
(b)
To find out what is a
(b)
Answer to Problem 21E
Explanation of Solution
It is given in the question that in the survey on the death penalty, the Gallup poll actually split the sample at random and asking the respondents to answer the question quoted earlier. Thus, we have,
Let us first check the conditions for the following as:
Random condition: It is satisfied as it is assumed that the sample is randomly selected.
Normal condition: It is satisfied as,
Thus, all the conditions are met. Therefore, now, to find the confidence interval we will use the calculator
Thus, the confidence interval will be as:
(c)
To explain how does the margin of error based on this pooled sample compare with the margins of error from the separate groups and why.
(c)
Answer to Problem 21E
It is smaller.
Explanation of Solution
It is given in the question that in the survey on the death penalty, the Gallup poll actually split the sample at random and asking the respondents to answer the question quoted earlier. Thus, the confidence interval will be as:
Thus, we can say that the margin of error based on this pooled sample compare with the margins of error from the separate groups is smaller and a large sample size is there.
Chapter 19 Solutions
Stats: Modeling the World Nasta Edition Grades 9-12
Additional Math Textbook Solutions
Basic Business Statistics, Student Value Edition (13th Edition)
Basic Business Statistics, Student Value Edition
Elementary Statistics
An Introduction to Mathematical Statistics and Its Applications (6th Edition)
Statistics: The Art and Science of Learning from Data (4th Edition)
Fundamentals of Statistics (5th Edition)
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman