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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. the margin of error for the population proportion, rounded to the nearest hundredth of a percent, is ±___%.

Sagot :

Tutorconsortium413

The margin of error for the population proportion is ± 3.39%

What is Error?

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%

To learn more about Error, visit:

https://brainly.com/question/25420399

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