Concept explainers
a.
To find: The test that is to be used in the provided case.
a.
Answer to Problem 52E
Chi-square test of homogeneity.
Explanation of Solution
Given:
The output is:
Here, two-way table has been computed for the one qualitative variable of two sample. Thus, chi-square test of homogeneity should be used here.
b.
To state: The appropriate null and alternative hypotheses for the provided test.
b.
Explanation of Solution
Calculation:
The appropriate null and alternative hypotheses for the provided test could be written as:
c.
To check: If the required conditions to conduct the test are met or not.
c.
Explanation of Solution
Here, in this case following conditions are following:
- Sample is chosen random.
- All the expected counts are above 5.
- The
size of the sample is 10% smaller than the population.
Thus, it could be said that the required conditions are fulfilled.
d.
To interpret: The P -value and draw the conclusion.
d.
Explanation of Solution
If no relationship exists between the variables then the likelihood of having same or extreme sample is 0.01%
Conclusion:
The p -value < 0.05. The null hypothesis is rejected. Thus, at 5% significance level there is sufficient evidence to reject the claim that there is an association between the two variables.
Chapter 11 Solutions
The Practice of Statistics for AP - 4th Edition
Additional Math Textbook Solutions
An Introduction to Mathematical Statistics and Its Applications (6th Edition)
Elementary Statistics: Picturing the World (7th Edition)
Elementary Statistics
Elementary Statistics (13th Edition)
Basic Business Statistics, Student Value Edition
Elementary Statistics Using Excel (6th 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