College Statistics Contingency Table Problem?

Published October 1, 2013

Question by Scott: College Statistics Contingency Table Problem?
3.In a survey conducted by researchers at the University of Wisconsin, subjects were asked the question “Have you ever used cocaine?” in one of three methods, anonymous survey, personal interview, or phone survey. The contingency table below shows the results of this survey of 2400 students. Suppose one subject is randomly selected from this group. Find the probability that the subject participated in an anonymous interview given that the person answered “Yes.” Show this answer as a fraction. Do not attempt to reduce the fraction.

Survey Method NO YES TOTAL
Anonymous 576 224 800
Personal 600 200 800
Phone 632 168 800
Total 1808 592 2400

Best answer:

Answer by IsaacUSM
A – Anonymous
Y – Yes

P( A | Y ) = number(A and Y)/number(Y) = 224/592

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