Question

For a population with a proportion equal to 0.33

calculate the standard error of the proportion for the following sample sizes.

​a) 35

​b) 70

​c) 105

​

​a)

σ=_

​(Round to four decimal places as​ needed.)

Answer 1

Solution

Given that,

p = 0.33

1 - p = 0.67

n = 35

=  [p ( 1 - p ) / n] =   [(0.33*0.67) /35 ] = 0.0795

b.

n = 70

=  [p ( 1 - p ) / n] =   [(0.33*0.67) /70 ] = 0.0562

c.

n = 105

=  [p ( 1 - p ) / n] =   [(0.33*0.67) /105] = 0.0459