The Student Room Group

Statistics: n of Margin of error

Why is p=0.5 given margin of error is 0.02 to find n??

That means we want the largest n? Since numerator of margin of error is largest when p=0.5 and thus deno with n also has to be largest.
But why do we want the largest n for a given value of margin of error?
(edited 9 years ago)
Original post by Vadevalor
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Can't make sense of that. Can you post the whole question/working, and/or the relevant parts of the material.
Reply 2
A survey is conducted to estimate the proportion, p, of households that have access to clean water. Out of the 1100 households survey, 650 reported they have clean water.
(a) Construct a 95% confidence interval for p and state all assumptions.
(b) Find the sample size needed so the margin of error will be ±0.02 with confidence
level 95%

My qn is related to Part b
Reply 3
Anyone can help? I have the answer but don't understand
(edited 9 years ago)

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