Determining the Appropriate Sample Size

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

n = 50,^/p = 0.80

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

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

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