The margin error is 2.82%.
What is Margin of Error?
A margin of error is a statistical measurement that accounts for the difference between actual and projected results in a random survey sample
The margin of error for a sample proportion is given by
[tex]z_{\alpha /2}\sqrt{ \frac{p(1-p)}{n} }[/tex]
where p is the sample proportion and n is the sample size.
Consider the confidence level of 95%, then [tex]z_{\alpha /2}[/tex] = 1.96
p = 53% = 0.53 and n =1200
Thus, Margin of error=
[tex]z_{\alpha /2}\sqrt{ \frac{p(1-p)}{n} }[/tex]
=1.96[tex]\sqrt{ \frac{0.53(1-0.53)}{1200} }[/tex]
=1.96*0.0144
=0.0282
= 2.82%
Hence, margin error is 2.82%.
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