SOLUTION: A sample consisting of 922 men and 543 women was asked various questions pertaining to the nation's economy. For a 95% level of confidence, find the margin of error associated with

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Question 1103776: A sample consisting of 922 men and 543 women was asked various questions pertaining to the nation's economy. For a 95% level of confidence, find the margin of error associated with the following samples. (Round your answers to one decimal place.)
(a) the male sample
(b) the female sample
(c) the combined sample
please help, thank you in advance.

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
The half confidence interval is z*sqrt(p*(1-p))/n
z=1.96
1.96*sqrt(0.5)(0.5)/922, using 0.5 since that gives the largest sample size and is the most conservative estimate.
3.2% margin of error.
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similarly for b
4.2%
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and for c
2.6%
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the margin of error may be estimated as 1/sqrt(n), since 1.96 * 0.5 is about 1