# Efficiency - Populations

For a population of athletes, each independently has a probability p of using steroid. If p is smaller than a special p-value p*, then it is more efficient to do pairwise group testing of the samples than to test the samples one at a time. p* is found to be approximately 0.38.

Problem: Two population of athletes with different p values p1 and p2 both of whom are assumed to be less than p*. Assuming that p1<p2, is it more efficient to test the two populations separately or to test one of each together? What do you do if the joint sample is positive?

See the attached file.

© BrainMass Inc. brainmass.com June 3, 2020, 8:09 pm ad1c9bdddfhttps://brainmass.com/statistics/probability/efficiency-populations-125811

#### Solution Preview

Please see the attached file.

i). If the two population is tested separately, then it is more ...

#### Solution Summary

This solution calculates the efficiency of testing two populations vs. one.

$2.19