Suppose that 90% and 98% confidence intervals are both computed for a population proportion (using the same sample). Which confidence level will give the narrowest interval?
A) 90%
B) 98%
C) It depends on the value of the sample proportion.
D) It depends on the value of the true population proportion.

Question

Quizplus · Accepted Answer

A 90% confidence interval will be narrower than a 98% confidence interval because a lower confidence level requires capturing less of the distribution, resulting in a smaller range. Higher confidence levels expand the interval to ensure a greater likelihood that the true parameter is captured.

Suppose That 90% and 98% Confidence Intervals Are Both Computed