In constructing interval estimates based on sample proportions (P s), the population proportion (P u) must be estimated. It is most conservative to estimate P uat________.
A) P s
B) .50
C) .25
D) 1.00

Question

Quizplus · Accepted Answer

Estimating P u at .50 is most conservative because it assumes that the population proportion is the closest to an equal split between yes and no responses, resulting in the widest possible interval estimate. Estimating P u at P s may result in an overestimation of the accuracy of the interval estimate. Estimating P u at 1.00 or 0 may not reflect the true proportion of the population and may underestimate the interval width. Estimating P u at .25 assumes that the population proportion is further away from an equal split than estimating it at .50, resulting in a narrower interval estimate.

In Constructing Interval Estimates Based on Sample Proportions (P S)