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 from the university 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. The expected frequency for the Business College is
A) .3.
B) .35.
C) 90.
D) 105.

Question

Quizplus · Accepted Answer

To find the expected frequency for the Business College, we need to first find the expected proportion for the Business College in the sample:
Expected proportion for Business College = Proportion of Business College in the population = 0.35
Expected frequency for Business College = Expected proportion * Sample size = 0.35 * 300 = 105
Therefore, the expected frequency for the Business College is 105. Choice D is the correct answer.

In the Past, 35% of the Students at ABC University