Question

5. You take a sample of 50 individuals, and find that 3 of them are unemployed....

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]

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

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)

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