Answer:
Then solution as long as n ≥ 56
Step-by-step explanation:
The Normal distribution will provide a good approximation to evaluate proportion tests when the following conditions are met:
n*p₀ > 10
n*q₀ > 10
As p₀ = 0,82 q₀ = 0,18 n = 13 30 56 and 100
We test:
A) n = 13 n*q₀ = 13*0,18 = 2,34 2,34 < 10
B) n = 30 n*q₀ = 30*0,18 = 5,4 5,4 < 10
C) n = 56 n*q₀ = 56 * 0,18 = 10,08
n*p₀ = 56 * 0,82 = 45,92
D) n = 100 n*q₀ = 18
n*p₀ = 82
If we test 55 we find that 55*0,18 = 9,9
Then solution as long as n ≥ 56
