The margin of error for the population proportion is ± 3.39%
Error is the difference between a genuine value and an estimate, or approximate, representation of that value in practical mathematics. The discrepancy between the mean of the complete population and the mean of a sample taken from that population is a frequent example in statistics.
Given that A survey of factories in five northeastern states found that 10% of the 300 workers surveyed were satisfied with the benefits offered by their employers
i.e. sample size n =300
Sample proportion p = 0.10
q=1-p=0.9
[tex]\sqrt{} \frac{pq}{n}[/tex] = [tex]\sqrt{\frac{0.1*0.9}{300} }[/tex]
Standard error ≈ 0.01732
Margin of error at 95% would be
1.96*std error
= 0.0339=3.39%
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