In a base-rate neglect experiment, subjects are randomly divided into two groups, namely A and B.  Subjects in Group A are told that Max has been randomly drawn from a population of 95% nurses and 5% doctors. Subjects in Group B are told that Max has been randomly drawn from a population of 5% nurses and 95% doctors.  All subjects from both groups are provided with the following description about Max: Max lives in a beautiful house and drives an expensive car; he invests a lot of time in his career. All subjects from both groups are told that the probability that Max fits the description given that he is a doctor is 80%, and the probability that Max fits the description given that he is a nurse is 20%. All subjects from both groups are then asked to estimate the probability that Max is a doctor given that he fits the description. 1. Suppose subjects in Group A correctly use the probability theory. What should be their estimate? From this please explain why this experiment can test base-rate neglect. What type of responses given by the two groups may imply that they exhibit base-rate neglect?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 19E
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In a base-rate neglect experiment, subjects are randomly divided into two groups, namely A and B. 

  • Subjects in Group A are told that Max has been randomly drawn from a population of 95% nurses and 5% doctors.
  • Subjects in Group B are told that Max has been randomly drawn from a population of 5% nurses and 95% doctors. 
  • All subjects from both groups are provided with the following description about Max: Max lives in a beautiful house and drives an expensive car; he invests a lot of time in his career.
  • All subjects from both groups are told that the probability that Max fits the description given that he is a doctor is 80%, and the probability that Max fits the description given that he is a nurse is 20%.

All subjects from both groups are then asked to estimate the probability that Max is a doctor given that he fits the description.

1. Suppose subjects in Group A correctly use the probability theory. What should be their estimate?

From this please explain why this experiment can test base-rate neglect. What type of responses given by the two groups may imply that they exhibit base-rate neglect?

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