Suppose that we will randomly select a sample ofn= 113 elements from a population and that we will compute the sample proportion

of these elements that fall into a category of interest. If the true population proportionpequals .8:

(a)Describe the shape of the sampling distribution of

. Why can we validly describe the shape? SEE IMAGE BELOW

(b)Find the mean and the standard deviation of the sampling distribution of

.(Round the answers to 2 decimal places.)

np = ( x(0.8)) = : n(1 - p) = ( *(0.2)) = : The sample large enough. The distribution of (p-hat) normally distributed