Question 1112015
mean of the proportion is 0.15
:
1 - 0.15 = 0.85
:
standard error of the sample = square root(0.15 * 0.85 / 200) = 0.0252
:
sample size(200) > 30, we can use the normal distribution
:
24/200 = 0.12
:
z-score = (0.12 - 0.15) / 0.0252 = −1.19
:
Probability ( X < 24 ) = 0.1170
: