Question

Describe the sampling distribution of p. Assume the size of the population is 30,000

n=1400, p=0.444

Determine the mean of the sampling distribution of p.
mean=? (round to three decimal places as needed)

Determine the standard deviation of the sampling distribution of p.

std dev.=?? (round to three decimal places as needed)

Answer 1

Solution

Given that,

p = 0.444

1 - p = 0.556

n = 1400

The mean of the sampling distribution of proportion is ,

= p = 0.444

The standard deviation of the sampling distribution is ,  

=  [p( 1 - p ) / n = [(0.444 * 0.566) / 1400] = 0.420