It is believed that 5% male teens suffer from depression....

Question

It is believed that 5% male teens suffer from depression. A group of Psychology students wants to test that the proportion they believe is correct. They used a sample of 1,099, and found out that 58 of them suffers from depression. What will be the test value to test the claim?

Answer 1

[p hat - p zero] / sqrt [ p zero x [1- p zero] / n]

p hat = sample proportion = 58 / 1099

p zero = 0.05

n = 1099