Concept explainers
(a)
Section 1:
To find: The distribution of the proportion of working females.
(a)
Section 1:
Answer to Problem 95E
Solution: The proportion of females who were engaged in work follows
Explanation of Solution
Calculation: The sampling distribution of the sample proportion of success
Therefore, for the given problem,
And,
Section 2:
To find: The distribution of the proportion of working males.
Section 2:
Answer to Problem 95E
Solution: The proportion of males who were engaged in work follows normal distribution with average
Explanation of Solution
Calculation: The sampling distribution of the sample proportion of success
And,
(b)
To find: The sampling distribution of the difference of sample proportions.
(b)
Answer to Problem 95E
Solution: The sampling distribution of
Explanation of Solution
Calculation: The proportion of females who were engaged in work follows normal distribution with mean
The proportion of males who were engaged in work follows normal distribution with mean
The sampling distribution of
And,
(c)
To find: The probability that a higher proportion of females worked than males.
(c)
Answer to Problem 95E
Solution: The required probability is
Explanation of Solution
Calculation: The following probability needs to be calculated for the given problem:
The sampling distribution of
The probability that
The Z-score for the value
The area below the standard normal curve to the left of
Want to see more full solutions like this?
Chapter 5 Solutions
Introduction to the Practice of Statistics 9E & LaunchPad for Introduction to the Practice of Statistics 9E (Twelve-Month Access)
- 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