use the given data to find the minimum sample size required

use the given data to find the minimum sample size required to estimate a popoulation proportion or percentage. margin of error: 0.02; confidence level 95%; froma prior study, p is estimated by the decimal equivalent of 56%

Solution

Compute Sample Size ( n ) = n=(Z/E)^2*p*(1-p)
Z a/2 at 0.05 is = 1.96
Samle Proportion = 0.56
ME = 0.02
n = ( 1.96 / 0.02 )^2 * 0.56*0.44
= 2366.426 ~ 2367