Question

17. For a population with a proportion equal to 0.32, calculate the standard error of the proportion for the following sample sizes.

a) 40 b) 80 c) 120

a. σp = _____(Round to four decimal places as needed.)

b. σp = _____(Round to four decimal places as needed.)

c.σp =______ (Round to four decimal places as needed.)

Answer 1

Solution

Given that,

p = 0.32

1 - p = 1-0.32=0.68

n = 40

=  [p ( 1 - p ) / n] =   [(0.32*0.68) / 40 ] = 0.0738

b.

n=80

=  [p ( 1 - p ) / n] =   [(0.32*0.68) / 80 ] = 0.0522

c.

n=120

=  [p ( 1 - p ) / n] =   [(0.32*0.68) / 120 ] = 0.0426