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nekit [7.7K]
3 years ago
11

In an election poll, 200 people were surveyed and 45% expressed their likelihood to vote for a particular candidate. the margin

of error on this estimated support is closest to
Business
1 answer:
Sergio039 [100]3 years ago
6 0
A margin of error is an amount (usually small) that is allowed for in case of miscalculation or change of circumstances. A general approach for finding a margin of error involves using the standard deviation of a sample proportion. 

Roughly 95% of all normally distributed data fall within two standard deviations of the mean. So the margin of error is two times the  standard deviation (SD)
margin of error = 2*SD
SD=sqrt(p*(1-p)/n)
p is probability of the event and n is the sample size.
In our case, p=0.45 and n=200.
SD=sqrt(0.45*0.55/200)=sqrt(0.001)-0.03
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Explanation:

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It is calculated with the following formula,

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Plugging in the figures we have,

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