Question

By how many times does the sample size have to be increased to decrease the margin of error by a factor of one fourth14​?

Answer 1

The margin of error is proportional to
`(1)/( √(n) )` 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
`4^(2)=16.`.
The answer is: the sample size must increase by 16 times.