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

Question

asked Feb 8, 2018 155k views

1 Answer

Trixo · Answer 1 · 2018-02-14T12:56:53+0000

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.