Answer
$ μ_{p̂} = p = 0.39$
$σ_{p̂} = 0.022$
Work Step by Step
Here we have n = 500, p = 0.39
Verifying model requirements:
a. np(1-p) = 500 x 0.39 (1 - 0.39) = 118.95 > 10
b. n is less than 5% of about 300+ million US citizens.
Hence, p̂ is normally distributed.
$ μ_{p̂} = p = 0.39$
$σ_{p̂} = \sqrt \frac{p(1-p)}{n} = \sqrt \frac{0.39(1-0..39)}{500} = 0.022$
