Exhibit 11-7
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.
-Refer to Exhibit 11-7. The conclusion of the test is that the

Question

Quizplus · Accepted Answer

To determine whether the proportions have changed significantly, we need to conduct a chi-square goodness-of-fit test. The null hypothesis is that the observed frequencies are not significantly different from the expected frequencies based on the population proportions. The alternative hypothesis is that the observed frequencies are significantly different from the expected frequencies. Using a significance level of 0.05 and a chi-square test, we find that the calculated chi-square value is 2.40. This is less than the critical value of 5.99 (with 2 degrees of freedom) for a chi-square distribution at a 0.05 significance level. Therefore, we fail to reject the null hypothesis and conclude that the proportions have not changed significantly. Therefore, the best answer is option B.

Exhibit 11-7 In the Past, 35% of the Students at ABC University