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Determining the Appropriate Sample Size

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For the binomial sample information summarized below, indicate whether the sample size is large enough to use the large sample approximation to construct a confidence interval for p.

n = 50,^/p = 0.80

Is the sample large enough? Yes, or no and why?

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Solution Summary

For a given binomial distributed sample, checked if sample size is large enough to use large sample approximation.

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p=0.80
n=50
np+/-3*sqrt(p*(1-p)*n) = 50*0.80 +/- 3*sqrt(50*0.80*0.20) = ...

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