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 calculated value for the test statistic equals

Question

Quizplus · Accepted Answer

The test statistic for a chi-square goodness-of-fit test is calculated using the formula: χ² = Σ((O_i - E_i)² / E_i), where O_i is the observed frequency and E_i is the expected frequency. For this problem, the expected frequencies are 105 for Business, 105 for Liberal Arts, and 90 for Education. Calculating the test statistic gives χ² = ((90-105)²/105) + ((120-105)²/105) + ((90-90)²/90) = 4.29.

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