SOLUTION: A random sample is to be selected from a population that has a proportion of successes p = 0.94. Calculate the standard deviation of the sampling distribution of the sample propor

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Question 1197828: A random sample is to be selected from a population that has a proportion of successes p = 0.94. Calculate the standard deviation of the sampling distribution of the sample proportion for samples of size 295. Give your answer as a decimal with four digits after the decimal point.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Binomial Distribution: p(success) = .94, q = .06 and n = 295
Note: We can use the normal distribution as a close approximation to the
binomial distribution whenever np > 5 and nq > 5.
Criteria satisfied:
x̄ = 295(.94)
s = √(npq) = sqrt%28295%2A.94%2A.06%29 = 4.0790