Question

You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable estimate for the population proportion. You would like to be 99% confident that you esimate is within 1.5% of the true population proportion. How large of a sample size is required?

Answer 1

Preliminary estimate for proportion (Unknown) = 0.5          
Margin of error =E=0.015          
Level of significance =   1-0.99=0.01          
Z critical value is (by using Z table)=2.58          
                              
Sample size

Therefore, sample size approximately will be 7373