Question

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.
a. To compare the pass rates, what would be the pooled proportion?

b. What is the test statistic?

c. Find the critical value for a right-tailed test at ? = .05.

d. Find the p-value.

d. What is your decision regarding the null hypothesis?

Answer 1

Answer:

Step-by-step explanation:

Given that two well-known aviation training schools are being compared using random samples of their graduates

Fly more academy 70 of 140

Blue Yonder   104 of 260

Combined pass = (70+104) out of (140+260)

a) Pooled proportion=$\frac{174}{400} \\=0.435$

b) H0: p1 = p2

Ha: p1 ≠p2

(two tailed test)

p difference= $\frac{70}{140} -\frac{104}{260} =0.10$

std error for difference (using pooled proportion) = $\sqrt{\frac{0.435*0.565}{400} } \\=0.0248$

Test statistic = p difff/std error = 4.034

c) Critical value for 0.05 is 1.96

d) p value is < 0.005

Since p < 0.05 our significant level we reject H0

There is significant difference between the two proportions.