At Huge University, a sample of 200 business school seniors showed that 26 planned to pursue an MBA degree, compared with 120 of 800 arts and sciences seniors. We want to know if the proportion is higher in the arts and sciences group. The pooled proportion for this test is:
A).130
B).140
C).145
D).146

Question

Quizplus · Accepted Answer

The pooled proportion is calculated by taking the total number of successes (in this case, students planning to pursue an MBA) and dividing it by the total number of trials (total students surveyed). Here, $26 + 120 = 146$ students plan to pursue an MBA out of $200 + 800 = 1000$ students surveyed. The pooled proportion is the total successes (146) not divided by the total number of students, so the correct answer is the total number of students planning to pursue an MBA, which is 146.

At Huge University, a Sample of 200 Business School Seniors