Answer
$ μ_{p̂} = p = 0.29$
$σ_{p̂} = 0.02$
Work Step by Step
Here we have n = 500, p = 0.29
Verifying model requirements:
a. np(1-p) = 500 x 0.29 (1 - 0.29) = 102.95 > 10
b. n is less than 5% of about 300+ million US citizens.
Hence, p̂ is normally distributed.
$ μ_{p̂} = p = 0.29$
$σ_{p̂} = \sqrt \frac{p(1-p)}{n} = \sqrt \frac{0.29(1-0.29)}{500} = 0.02$
