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A random sample of 50 households was selected for a phone survey. Of the 50 respondents,...

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?

Math   Statistics-And-Probability   
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Answer #1

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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