HW3

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

1. State the null and alternative hypotheses to be tested.
2. Compute the test statistic.
3. The null hypothesis is to be tested at the .05 level of significance. Determine the critical value for this test. What do you conclude?
4. Determine the p-value