By how many times does the sample size have to be increased to decrease the margin of error by a factor of one fourth14?
Accepted Solution
A:
The margin of error is proportional to [tex]\frac{1}{ \sqrt{n} }[/tex] where n is the sample size. therefore for the M.E. to decrease by a factor of one fourth, the sample size must increase by a factor of [tex]4^{2}=16.[/tex]. The answer is: the sample size must increase by 16 times.