Question

If random samples of the given size are drawn from a population with the given proportion, find the standard error of the distribution of sample proportions. a) Samples of size 35 from a population with proportion 0.37. b) Samples of size 500 from a population with proportion 0.75.

Answer 1

Solution:

a)

Standard Error = [ * (1 - ) / n]

=  [(0.37 * 0.63) / 35]

= 0.082

b)

Standard Error = [ * (1 - ) / n]

=  [(0.75 * 0.25) / 500]

= 0.019