You see a TV commercial that states that “seven out of ten physicians surveyed prefer the ingredients in pain reliever X to plain aspirin.”  You write the company because you are curious about the survey, and to your amazement, you find that the survey was of exactly ten physicians.  Suppose the population of physicians was indifferent as to the

Managerial Economics: A Problem Solving Approach
5th Edition
ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Chapter17: Making Decisions With Uncertainty
Section: Chapter Questions
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31 You see a TV commercial that states that “seven out of ten physicians surveyed prefer the ingredients in pain reliever X to plain aspirin.”  You write the company because you are curious about the survey, and to your amazement, you find that the survey was of exactly ten physicians.  Suppose the population of physicians was indifferent as to the advertised product and plain aspirin, that is, 50% preferred aspirin and 50% preferred the advertised product.  What is the probability that a survey of ten randomly selected physicians would find seven or more who preferred the advertised product?                
                   
                   
a 0.0619                
b 0.1031                
c 0.1719                
d 0.2265                
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Explanation

P(Seven or more who preferred the advertised product)

= P(X ≥ 7) = 1 - P(X<7)

= 1 - P(X ≤6)

= 1 - binomdist (6, 10, 0.50, TRUE) [Excel

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