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.

1. this problem is an example of a
a. normally distributed variable
b. test for independence
c. poisson distributed variable
d. multinomial population ans: d

2. the expected frequency for the business college is
a. 0.3
b. 0.35
c. 90
d. 105 ans: d

3. the calculated value for the test statistic equals
a. 0.01
b. 0.75
c. 4.29
d. 4.38 ans: c

4. the hypothesis is to be tested at the 5% level of significance. the critical value from the table equals
a. 1.645
b. 1.96
c. 5.991
d. 7.815 ans: c

5. the p-value is
a. greater than 0.1
b. between 0.05 and 0.1
c. between 0.025 and 0.05
d. between 0.01 and .025 ans: a

6. the conclusion of the test is that the
a. proportions have changed significantly
b. proportions have not changed significantly
c. test is inconclusive
d. none of these alternatives is correct.