he estimate of the population proportion is to be within plu

he estimate of the population proportion is to be within plus or minus .10, with a 99% level of confidence. The best estimate of the population proportion is .45. How large a sample is required? (Round up your answer to the next whole number.) Sample size

Solution

Compute Sample Size ( n ) = n=(Z/E)^2*p*(1-p)
Z a/2 at 0.01 is = 2.58
Samle Proportion = 0.45
ME = 0.1
n = ( 2.58 / 0.1 )^2 * 0.45*0.55
= 164.7459 ~ 165