Concept explainers
To find: The chi-square statistic.
Answer to Problem 1.3CYU
The expected counts are 10.58, 10.59, 6.9, 6.9, 5.52 and 5.52 respectively.
Explanation of Solution
Given:
The number of blue, orange, green, yellow, red and brown candies are 12, 7, 13, 4, 8 and 2 respectively.
The proportions are 23%, 15% and 12% respectively.
Formula used:
The formula to compute the test statistic is
Calculation:
The calculation for test statistic could be done as:
Observed value | ||||
12 | 10.58 | 1.42 | 2.0164 | 0.191 |
7 | 10.58 | -3.58 | 12.816 | 1.211 |
13 | 6.9 | 6.1 | 37.21 | 5.393 |
4 | 6.9 | -2.9 | 8.41 | 1.219 |
8 | 5.52 | 2.48 | 6.1504 | 1.114203 |
2 | 5.52 | -3.52 | 12.3904 | 2.244638 |
The test statistic is:
Thus, the test statistic is 11.3724.
Chapter 11 Solutions
The Practice of Statistics for AP - 4th Edition
Additional Math Textbook Solutions
Basic Business Statistics, Student Value Edition (13th Edition)
Essentials of Statistics, Books a la Carte Edition (5th Edition)
Basic Business Statistics, Student Value Edition
Statistics for Business and Economics (13th Edition)
Fundamentals of Statistics (5th 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