601 sample size is needed when you want to 95% confident of estimating the population proportion to within a sampling error ±0.04.
Given that,
If you want to 95% confident of estimating the population proportion to within a sampling error ±0.04.
We have to find what sample size is needed.
We know that,
First we will assume that sample in drawn from normal population.
For 95% confident
α=0.05
Z=1.96
Here we need to calculate M.E= 0.04
Where,
M.E=Z√(α(1-α)/n
0.04=1.96√0.05(1-0.05)/n
n=601
Therefore, 601 sample size is needed when you want to 95% confident of estimating the population proportion to within a sampling error ±0.04.
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