Statistics: The Art and Science of Learning from Data (4th Edition)
Statistics: The Art and Science of Learning from Data (4th Edition)
4th Edition
ISBN: 9780321997838
Author: Alan Agresti, Christine A. Franklin, Bernhard Klingenberg
Publisher: PEARSON
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Chapter 1.1, Problem 1PB

Aspirin and heart attacks The Harvard Medical School study mentioned in Scenario 2 included about 22,000 male physicians. Whether a given individual would be assigned to take aspirin or the placebo was determined by flipping a coin. As a result, about 11,000 physicians were assigned to take aspirin and about 11,000 to take the placebo. The researchers summarized the results of the experiment by using percentages. Of the physicians taking aspirin, 0.9% had a heart attack, compared to 1.7% of those taking the placebo. Based on the observed results, the study authors concluded that taking aspirin reduces the risk of having a heart attack. Specify the aspect of this study that pertains to (a) design, (b) description, and (c) inference.

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5. Suppose that X is an integer valued random variable, and let mЄ N. Show that 8 11118 P(n
食食假 6. Show that I(AUB) = max{1{A}, I{B}} = I{A} + I{B} - I{A} I{B}; I(AB)= min{I{A}, I{B}} = I{A} I{B}; I{A A B} = I{A} + I{B}-21{A} I{B} = (I{A} - I{B})². -
11. Suppose that the events (An, n ≥ 1) are independent. Show that the inclusion- exclusion formula reduces to P(UAL)-1-(1-P(Ak)). k=1 k=1

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Statistics: The Art and Science of Learning from Data (4th Edition)

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