Question

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.To address this problem, the proper statistical distribution to use is

a. the standard normal distribution
b. the student t distribution
c. the F-distribution
d. the chi-Square distribution

Answer 1

Answer:

d. The Chi-Square distribution.

Step-by-step explanation:

Hello!

You have one population: Students at ABC University

One study variable: X: College a student is enrolled in, categorized: Bussiness College "B", Liberal Arts College "A" and Education College "E".

The objective of this study is to test if the proportions of students enrolled in each college are different from the known data.

To do this a sample of 300 students was taken and the major they are studying recorded, the observed proportions are to be compared to the expected proportions.

The correct statistic test to use in this case is a Chi-Square Goodness to Fit test.

I hope it helps!