Question

Determine the required sample size to estimate a population proportion with a Confidence Level of 95% and E = 0.084.

Answer 1

Solution,

Given that,

=  1 - = 0.5

margin of error = E = 0.084

At 95% confidence level

= 1 - 95%

= 1 - 0.95 =0.05

/2 = 0.025

Z/2 = Z_0.025 = 1.96

sample size = n = (Z _{/ 2} / E )² * * (1 - )

= (1.96 / 0.084 )² * 0.5 *0.5

= 136.11

sample size = n = 137