Question

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

Margin of error: 0.008; confidence level: 98%;

ModifyingAbove p with caret

and

ModifyingAbove q with caret

unknown

Answer 1

Solution :

Given that,

= 1 - = 0.5

margin of error = E = 0.008

At 98% confidence level

= 1 - 98%

=1 - 0.98 =0.02

/2 = 0.01

Z/2 = 2.326

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

= (2.326 / 0.008)² * 0.5 * 0.5

= 21133.89

sample size = n = 21134