According to a poll, 55% of Americans do not know that GOP stands for Grand Old Party (Time, October 17, 2011). Assume that this percentage is true for the current population of Americans. Let $\hat{p}$ be the proportion in a random sample of 664 Americans who do not know that GOP stands for Grand Old Party. Find the mean and standard deviation of the sampling distribution of $\hat{p}$ and describe its shape.
Round your answer for the standard deviation to four decimal places.
$\mu_{\hat{p}} =$
$\sigma_{\hat{p}} =$
The sampling distribution of $\hat{p}$ is