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
Business54
65
28
93
240
Engineering15
24
8
33
80
Liberal Arts65
84
33
98
280
Fine Arts13
15
7
25
60
Health Sciences3
12
4
21
40
150
200
80
270
700
?
a.Determine the critical value of the chi-square ?2 for this test of independence.b.Calculate the value of the test statistic.c.What is the conclusion for this test? Let ? = .05.
What will be an ideal response?
?
| a. | 21.026 |
| b. | 9.64 (rounding off the expected frequencies) |
| c. | Do not reject the null hypothesis that fields of specialization and region are independent. |
Business
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