SOLUTION: A random sample is to be selected from a population that has a proportion of successes p = 0.41. What is the smallest sample size that meets the conditions for the sampling distri

Question 1197829: A random sample is to be selected from a population that has a proportion of successes p = 0.41. What is the smallest sample size that meets the conditions for the sampling distribution of the sample proportion to be approximately normal? Give your answer as an integer.
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
We can use the normal distribution as a close approximation to the
binomial distribution whenever np > 5 and nq > 5:
n(.41) > 5 & n(.59) > 5
n > 5/.41
n > 12.2 round Up
n > 13 and 13(.59) > 5

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