Question

RIGHT CLICK ON THE IMAGE AND SELECT "OPEN IMAGE IN A NEW TAB" FOR A LARGER CLEARER IMAGE.

Describe the sampling distribution of p. Assume the size of the population is 20,000. n=400, p=0.6 Choose the phrase that best describes the shape of the sampling distribution of p below. O A. Approximately normal because ns 0.05N and np(1-p) < 10 O B. Not normal because ns0.05N and np(1-p) 10. OC. Approximately normal because ns 0.05N and np(1 - p) 210. O D. Not normal because ns0.05N and np(1 - p)< 10. Determine the mean of the sampling distribution of p. = (Round to one decimal place as needed.) Determine the standard deviation of the sampling distribution of p. OA= р (Round to three decimal places as needed.)

Answer 1

Solution

Given that,

C. Approximately normal because ns0.05N and np(1-P) 10.

The mean of the sampling distribution of proportion is ,

$\mu$_{$\hat p$} = p = 0.6

The standard deviation of the proportion is ,  

$\sigma$_{$\hat p$} =  $\sqrt$[p( 1 - p ) / n = $\sqrt$ [(0.6 * 0.4) / 400 ] = 0.024