SOLUTION: Recall that for use of a normal distribution as an approximation to the binomial distribution, the conditions np > 5 and nq > 5 must be met. For p = 0.2, compute the minimum sample

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Question 1081891: Recall that for use of a normal distribution as an approximation to the binomial distribution, the conditions np > 5 and nq > 5 must be met. For p = 0.2, compute the minimum sample size needed for use of the normal approximation. Round to the nearest whole number.
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!
Plug p = 0.2 into the first inequality and solve for n

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For the second inequality plug q = 1-p in first, then plug in p = 0.2, and solve for n

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Intersecting the two inequalities and leads to just , as this is the region they both share in common

So overall, the solution is where n is a positive whole number.

We'll need n to be larger than 25 in order to use a normal approximation.

The min sample size needed is 26