For Problems 9-19. please provide the following information.
(a) What is the level of significance? State the null and alternate hypotheses.
(b) Find the value of the chi-square statistic for the sample. Are all the expected frequencies greater than 5? What sampling distribution will you use? What are the degrees of freedom?
(c) Find or estimate the p- value of the sample test statistic.
(d) Based on your answers in parts (a) to (c). will you reject or fail to reject the null hypothesis of independence?
(e) Interpret your conclusion in the context of the application.
Use the expected values E to the hundredths place.
Sociology: Ethnic Groups After a large fund drive to help the Boston City Library, the following information was obtained from a random sample of contributors to the library fund. Using a 1% level of significance, test the claim that the amount contributed to the library fund is independent of ethnic group.
Number of People Making Contribution
Ethnic Group |
$1-50 | $51-100 | $101-150 | $151-200 | Over $200 | Row Total |
A | 83 | 62 | 53 | 35 | 18 | 251 |
B | 94 | 77 | 48 | 25 | 20 | 264 |
C | 78 | 65 | 51 | 40 | 32 | 266 |
D | 105 | 89 | 63 | 54 | 29 | 340 |
Column Total | 360 | 293 | 215 | 154 | 99 | 1121 |
Want to see the full answer?
Check out a sample textbook solutionChapter 11 Solutions
Understanding Basic Statistics
- 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