Answer
Sampling distribution of p̂ is normally distributed with $μ_{p̂} = 0.35$ and $σ_{p̂} = 0.015$
Work Step by Step
5% population size = 1,000,000 x 0.05 = 50,000, hence sample size is less than 5% population size.
np(1-p) = 1000 x 0.35 x 0.65 = 227.5 $\geq 10$
Hence sampling distribution of p̂ is normally distributed.
$μ_{p̂} = p = 0.35$
$σ_{p̂} = \sqrt \frac{p(1-p)}{n}$
$ = \sqrt \frac{0.35 * 0.65}{1000}$
= 0.015
