Question

For a population with a proportion equal to 0.27​, calculate the standard error of the proportion for the following sample sizes. ​a) 45 ​b) 90 ​c) 135

Answer 1

Solution :

Given that ,

p = 0.27

1 - p = 0.73

a)

n = 45

standard error

= (p*(1-p))/n =  (0.27*0.73)/ 45= 0.0662

b)

n = 90

standard error

= (p*(1-p))/n =  (0.27*0.73)/ 90= 0.0468

c)

n = 45

standard error

= (p*(1-p))/n =  (0.27*0.73)/ 135= 0.0382