Suppose we believe that with probability p a person will play a certain Nash equilibrium and that this probability is the same for all people. We do not know p, but have reason to believe it is about 25%. To test this hypothesis against the two-tailed alternative, we put 100 subjects through an experiment and observe 20 of them playing the Nash strategy. Based on the experimental results, conduct a parametric test, test whether p = 25% when α (type 1 error) = 0.05.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Suppose we believe that with probability p a person will play a certain Nash equilibrium and that this probability is the same for all people. We do not know p, but have reason to believe it is about 25%. To test this hypothesis against the two-tailed alternative, we put 100 subjects through an experiment and observe 20 of them playing the Nash strategy.

Based on the experimental results, conduct a parametric test, test whether p = 25% when α (type 1 error) = 0.05.

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