Describe the sampling distribution of hat$(p).$ Assume the size of the population is $25,000$

$n=600,p=0\mathrm{.}473$

Describe the shape of the sampling distribution of hat$(p).$ Choose the correct answer below.

A$.$ The shape of the sampling distribution of hat$(p)$ is approximately normal because $n0\mathrm{.}05N$ and

B$.$ The shape of the sampling distribution of hat$(p)$ is approximately normal because $n0\mathrm{.}05N$ and $np(1-p)10.$

C$.$ The shape of the sampling distribution of hat$(p)$ is not normal because $n0\mathrm{.}05N$ and

D$.$ The shape of the sampling distribution of hat$(p)$ is not normal because $n0\mathrm{.}05N$ and $np(1-p)10.$

Determine the mean of the sampling distribution of hat$(p)$

${}_{\text{h}\text{a}\text{t}(p)}={?}_{-v}($Round to three decimal places as needed.$)$