The data below represents the fields of specialization for a randomly selected sample of undergraduate students. We want to determine whether there is any dependency between the fields of specialization and the regions of the country. Northeast Midwest South West Total Business 54 65 28 93 240 Engineering 15 24 8 33 80 Liberal Arts 65 84 33 98 280 Fine Arts 13 15 7 25 60 Health Sciences 3 12 4 21 40 150 200 80 270 700 a. State the null and alternative hypotheses to be tested. b. Compute the test statistic. c. The null hypothesis is to be tested at the .05 level of significance. Determine the critical value for this test. What do you conclude? d. Determine the p-value
The data below represents the fields of specialization for a randomly selected sample of undergraduate students. We want to determine whether there is any dependency between the fields of specialization and the regions of the country. Northeast Midwest South West Total Business 54 65 28 93 240 Engineering 15 24 8 33 80 Liberal Arts 65 84 33 98 280 Fine Arts 13 15 7 25 60 Health Sciences 3 12 4 21 40 150 200 80 270 700 a. State the null and alternative hypotheses to be tested. b. Compute the test statistic. c. The null hypothesis is to be tested at the .05 level of significance. Determine the critical value for this test. What do you conclude? d. Determine the p-value
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4BGP
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The data below represents the fields of specialization for a randomly selected sample of undergraduate students. We want to determine whether there is any dependency between the fields of specialization and the regions of the country.
|
Northeast |
Midwest |
South |
West |
Total |
Business |
54 |
65 |
28 |
93 |
240 |
Engineering |
15 |
24 |
8 |
33 |
80 |
Liberal Arts |
65 |
84 |
33 |
98 |
280 |
Fine Arts |
13 |
15 |
7 |
25 |
60 |
Health Sciences |
3 |
12 |
4 |
21 |
40 |
|
150 |
200 |
80 |
270 |
700 |
- a. State the null and alternative hypotheses to be tested.
- b. Compute the test statistic.
- c. The null hypothesis is to be tested at the .05 level of significance. Determine the critical value for this test. What do you conclude?
- d. Determine the p-value
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