For a given sample size and a given confidence level, the closer p is to 1.0, the greater the margin of error will be.

Question

Quizplus · Accepted Answer

The margin of error in a confidence interval primarily depends on the sample size and the standard deviation (or standard error) of the sample, not directly on the value of p (the sample proportion) itself. Closer p values to 0.5 at a given sample size and confidence level typically result in a larger margin of error, as the variability is highest at p = 0.5.

For a Given Sample Size and a Given Confidence Level