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Efficiency - Populations

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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?

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

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

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