(a)
The hypotheses for the significance test of mean systolic pressure to check whether the person seek medical attention or not.
(a)
Answer to Problem 22E
For null hypothesis
Explanation of Solution
Given Information:
By the null hypothesis,mean systolic pressureis equal to 130.
Thus,
By the alternative hypothesis mean systolic pressure is more than 130.
Thus,
Hence, for null hypothesis
(b)
Explain Type I error and Type II error and their consequences.
(b)
Answer to Problem 22E
In Type I error the mean systolic pressure is equal to 130 but the test indicates that the mean systolic pressure is more.
In Type II error mean systolic pressure is more than 130 but the test indicates that the mean systolic pressure is equal to 130.
Explanation of Solution
In Type I error, when the null hypotheses is true than
The mean systolic pressure is equal to 130but the test indicates that the mean systolic pressure is more.
Hence, the consequence is that they have high blood pressure and took action against high blood pressure but in reality they do not have high blood pressure.
In Type II error,when the null hypotheses is true than rejection of
The mean systolic pressure is more than 130 but the test indicates that the mean systolic pressure is equal to 130.
Hence, the consequence is that they have normal blood pressure and did not take action against high blood pressure but in reality they have high blood pressure and action should be taken.
(c)
Explain which type of error is more serious.
(c)
Answer to Problem 22E
Type II error is more serious.
Explanation of Solution
Since, there is no action taken against the high blood pressure as a result the individual could be die which is more serious.
Hence, type II error is more serious.
Chapter 9 Solutions
The Practice of Statistics for AP - 4th Edition
Additional Math Textbook Solutions
Statistics for Business and Economics (13th Edition)
Statistical Reasoning for Everyday Life (5th Edition)
Elementary Statistics: Picturing the World (7th Edition)
Introductory Statistics (10th Edition)
Elementary Statistics
Introductory Statistics (2nd 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