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Can I estimate a binomial (success vs failure) as a normal distribution with a sample size...

Can I estimate a binomial (success vs failure) as a normal distribution with a sample size of 25 (lower than 30 depended by CLT)?

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Answer #1

We can use normal approximation to binomial distribution for following conditions.

i) n * p >= 5

ii) n (1- p) >= 5

Where n = sample size and p is probability of success.

We have to consider both n and p here.

If both conditions are satisfied, use normal approximation,

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