Exhibit 12-4
In the past, 35% of the students at ABC University were in the Business College, 35% of the students were in the Liberal Arts College, and 30% of the students were in the Education College. To see whether or not the proportions have changed, a sample of 300 students was taken. Ninety of the sample students are in the Business College, 120 are in the Liberal Arts College, and 90 are in the Education College.
-Refer to Exhibit 12-4. The hypothesis is to be tested at the 5% level of significance. The critical value from the table equals
A)1.645
B)19.6
C)5.99
D)7.80

Question

Quizplus · Accepted Answer

To test the hypothesis at 5% level of significance, we use a significance level of 0.05. Since we are testing for proportions in three categories, we use the chi-square test. The critical value of chi-square with 2 degrees of freedom and a significance level of 0.05 is 5.99 from the table of chi-square values. Therefore, the best choice is C.

Exhibit 12-4 In the Past, 35% of the Students at ABC University