Two well-known aviation training schools are being compared using random samples of their graduates. It is found that 70 of 140 graduates of Fly-More Academy passed their FAA exams on the first try, compared with 104 of 260 graduates of Blue Yonder Institute. To compare the pass rates, the pooled proportion would be:
A).500
B).435
C).400
D).345

Question

Quizplus · Accepted Answer

To calculate the pooled proportion, first calculate the proportion of Fly-More Academy graduates who passed on the first try:

70/140 = 0.5

Then, calculate the proportion of Blue Yonder Institute graduates who passed on the first try:

104/260 = 0.4

To get the pooled proportion, take the weighted average of these two proportions based on their sample sizes:

(140/400) * 0.5 + (260/400) * 0.4 = 0.435

Therefore, the best choice is B, 0.435, as it is the calculated pooled proportion.

Two Well-Known Aviation Training Schools Are Being Compared Using Random