Question

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 is ± _____%.

Answer 1

Answer:

Step-by-step explanation:

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

Std error =$\sqrt{\frac{pq}{n} } =\sqrt{\frac{x0.1(0.9)}{300} } \\=0.01732$

Margin of error at 95% would be

1.96*std error

= 0.0339=3.39%

Answer 2

In a survey of factories in five northeastern states found that 10% of the 300 workers surveyed were satisfied with the benefits offered by their employer, the margin of error for the population proportion is ± seventeen (17) or ± 5.67%.