The question asks if no preliminary study is done, how big of a sample is needed if the person wants to say with 90% confidence is within 3 % of the population proportion
I don't have anymore important information then that, how could I figure this out
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Verified answer
756
you get this by using the general relationship t x (std errors) = b (want t std errors to equal the margin of error b)
where t is the critical value associated with the confidence level required and b is the margin of error required
if you work the general relationship and solve for n, you get n=(t/b)^2 (variance)
here, t=1.645 for 90% confidence; b=.03; and variance of a proportion is (assuming worst case p=.5) = p(1-p) = .5(1-.5)=.25
So n=(1.645/.03)^2 (.25) = 751.6, and round up to get n=752