A random sample of 50 households was selected for a phone survey. Of the 50 respondents, 20 said yes and 30 said no. What is the standard error of the proportion?
Solution
Given that,
p = 20 / 50 = 0.4
1 - p = 1 - 0.4 = 0.6
n = 50
The standard error of the population is ,
=
p ( 1 - p ) / n
=
(0.4 * 0.6) / 50
= 0.0693
= 0.0693
Standard error = 0.0693
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