Question

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

Margin of error. 0.018, confidence level: 99%; p and q unknown.

Answer 1

solution

Given that,

= 0.5

1 - = 1 - 0.5 = 0.5

margin of error = E = 0.018

At 99% confidence level the z is,

= 1 - 99%

= 1 - 0.99 = 0.01

/2 = 0.005

Z/2 = 2.58    ( Using z table )

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

= (2.58 / 0.018)2 * 0.5 * 0.5

=5136.11

Sample size = 5137 rounded