Tom K. answered 11/03/20
Knowledgeable and Friendly Math and Statistics Tutor
n = z2α/2p(1-p)/ME2 For α = .05, zα/2 = 1.96, The greatest n is needed when p = .5. Then, n=
z2α/2*1/4/ME2
For ME = 2%, z2α/2*1/4/ME2 = 1.962 * 1/4/(.022) = 2401
If p = .85, we have z2α/2p(1-p)/ME2 = 1.962 * .85*(1-.85)/(.022) = 1224.51, which we round up to 1225