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 the proportions have changed, a random sample of 300 students from ABC University was selected. 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. If the proportions are the same as they were in the past, the expected frequency for the Business College is

Answer 1

Answer: The expected frequency for the Business college is 31.5.

Step-by-step explanation:

Since we have given that

Number of students from ABC university = 300

Number of students from Liberal Arts college = 120

Number of students in Education college = 90

Number of students in Business college = 90

Probability of students in Business college = 35% = 0.35

Probability of students in Liberal arts college = 0.35

Probability of students in Education college = 0.30

So, Expected frequency for the Business College is given by

$0.35\times 90=31.5$

Hence, the expected frequency for the Business college is 31.5.