Assignment:
The data below represents fields of specialization for the randomly selected sample of undergraduate students. Test to determine whether there is a significant difference in the fields of specialization between regions of the country. Use a=.05
Northeast Midwest south west Total
Business 54 65 28 93 240
Engineering 15 24 8 33 80
LiberalArt 65 84 33 98 280
Fine ARt 13 15 7 25 60
Health 3 12 4 21 40
Totals 150 200 80 270 700
1. State the critical value of the chi-square random variable for this test of independence of catagories.
2. Calculate the value of the test statistic.
3. What is the conclusion for the test?