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. Based upon this test, what can be concluded? Select one: a. There is enough evidence to conclude that the proportions have not changed significantly. b. None of the answers is correct. c. There is enough evidence to conclude that the proportions have changed significantly. d. The test is inconclusive.

Question

Malachi

Mathematics

16 June, 11:23

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. Based upon this test, what can be concluded? Select one: a. There is enough evidence to conclude that the proportions have not changed significantly. b. None of the answers is correct. c. There is enough evidence to conclude that the proportions have changed significantly. d. The test is inconclusive.

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Answers (1)

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Siena Hampton · Answer 1

(c) There is enough evidence to conclude that the proportions have changed significantly.

Step-by-step explanation:

Population proportion

Business College = 35%

Liberal Arts College = 35%

Education College = 30%

Sample proportion

Number of students sampled = 300

Business College = 90/300 * 100 = 30%

Liberal Arts College = 120/300 * 100 = 40%

Education College = 90/300 * 100 = 30%

The population proportions are significantly different from the sample proportions.