Question

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

Margin of error: 0.05; confidence level: 95%;  and  unknown

Group of answer choices

Answer 1

Solution :

Given that,

= 0.5

1 - =0.5

margin of error = E = 0.05

At 95% confidence level the z is ,

= 1 - 95% = 1 - 0.95 = 0.05

/ 2 = 0.05 / 2 = 0.025

Z/2 = Z0.025 = 1.96 ( Using z table )

Sample size = n = (Z/2 / E)2 * * (1 - )

= (1.96 / 0.05)2 * 0.5* 0.5

= 384.16

Sample size =384