Answer
$p = μ_{p̂} = 0.47$
$σ_{p̂} = 0.035$
Work Step by Step
Here we have n = 200, p = 0.47
Verifying model requirements:
a. np(1-p) = 200 x 0.47 (1 - 0.47) = 49.82
b. n is less than 5% of 300+ million US citizens.
Hence, p̂ is normally distributed.
$p = μ_{p̂} = 0.47$
$σ_{p̂} = \sqrt \frac{p(1-p)}{n} = \sqrt \frac{0.47(1-0.47)}{200} = 0.035$
