Question

Use the given data to find the minimum sample size required to estimate the population proportion.

Margin of error: 0.04; confidence level: 95%; from a prior study,  is estimated by the decimal equivalent of 52%.

Answer 1

Solution :

Given that,

= 0.52

1 - = 0.48

margin of error = E = 0.04

At 95% confidence level the z is ,

= 1 - 95% = 1 - 0.95 = 0.05

/ 2 = 0.05 / 2 = 0.025

Z_/2 = Z_0.025 = 1.96

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

= (1.96 / 0.04)² * 0.52 * 0.48

= 599.29

sample size = 600