Question

You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable preliminary estimation for the population proportion. You would like to be 99% confident that you estimate is within 2% of the true population proportion. How large of a sample size is required? Hint: Textbook Video [+] N-

Answer 1

Since we are not sure about population proportion, we will take p = 0.5

We know that,

Margin of error, E = $z_{\alpha /2}$ *$\sqrt{p(1-p)/n}$

0.02 = 2.576*$\sqrt{0.5(1-0.5)/n}$

n = (2.576*0.5/0.02)²

= 4147.36

~ 4148

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