Question

Use the given data to find the minimum sample size required to estimate the population proportion. Margin of error: 0.09; confidence level: 99%; and unknown

Answer 1

Solution :

Given that,

= 0.5

1 - = 1 - 0.5= 0.5

margin of error = E = 0.09

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 / 0.09)2 * 0.5 * 0.5

=205.44

Sample size = 205