Question

The data below represents the fields of specialization for a randomly selected sample of undergraduate students. We want to determine whether there is a significant difference in the fields of specialization between regions of the country. (1 point)

	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

1. Determine the critical value of the chi-square (χ²) for this test of independence.
2. Complete the expected value table below

	Northeast	Midwest	South	West	Total
Business					240
Engineering					80
Liberal Arts					280
Fine Arts					60
Health Sciences					40
	150	200	80	270	700

            b.   Calculate the value of the test statistic (Show all work).

            c.   What is the conclusion for this test? Let α = .05.

Answer 1