Concept explainers
(a)
The population of teens that never argue with their friends.
(a)
Answer to Problem 12E
There is a chance of 0.0291 of obtaining 96 students or more who said they never argue with friends in a sample of 150 students when the population proportion is equal to 0.72.
Explanation of Solution
Given Information:
Population value from exercise 2
Number of sample
New population value
From exercise 1 population valueis 72%.
Convert 72% into decimal.
Thus, null hypotheses
Alternative hypotheses
Hence, if the population proportion is equal to 0.72, then there is a chance of 0.0291 of obtaining 96 students or morewho said they never argue with friends in a sample of 150 students.
(b)
Explain whether the data provide sufficient evidence against the null hypothesis.
(b)
Answer to Problem 12E
There is enough convincing evidence against the null hypothesis.
Explanation of Solution
From 12(a), null hypothesis is 0.72. If p value is smaller than significant level of 5%, then the null hypothesis is rejected.
Convert 5% into decimal.
But
Thus,
Hence, there is enough convincing evidence against the null hypothesis.
Chapter 9 Solutions
The Practice of Statistics for AP - 4th Edition
Additional Math Textbook Solutions
Elementary Statistics (13th Edition)
Elementary Statistics: Picturing the World (6th Edition)
Introductory Statistics (10th 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