5. You take a sample of 50 individuals, and find that 3 of them are unemployed. Construct
a 95% confidence interval for X, the true population proportion of individuals who are
unemployed.
a. [0.0611 ; 0.0936]
b. [0.0578 ; 0.0622]
c. [-0.0058 ; 0.1258]
d. [0.0046 ; 0.1154]
n = Sample Size = 50
p = Sample Proportion = 3/50 = 0.06
q = 1 - p = 0.94
SE =
= 0.05
From Table, critical values of Z = 1.96
Confidence interval:
0.06 (1.96 X 0.0335857)
= 0.06 0.0658
= ( -0.0058 ,0.1258)
So,
Correct option:
c. ( -0.0058 ,0.1258)
Get Answers For Free
Most questions answered within 1 hours.