Donald obtains a coin which is alleged to be biased so that the probability p that it falls head is 0.3 Donald wishes to test if indeed the coin is unbiased, and to do so by tossing the coin 100 times w the intention of not rejecting it as biased (as alleged) if he gets at most 37 heads.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
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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Donald obtains a coin which is alleged to be biased so that the probability p that it falls head is 0.3.
Donald wishes to test if indeed the coin is unbiased, and to do so by tossing the coin 100 times with
the intention of not rejecting it as biased (as alleged) if he gets at most 37 heads.
What is the size of the type I error, giving your answer to 2 decimal places.
Transcribed Image Text:Donald obtains a coin which is alleged to be biased so that the probability p that it falls head is 0.3. Donald wishes to test if indeed the coin is unbiased, and to do so by tossing the coin 100 times with the intention of not rejecting it as biased (as alleged) if he gets at most 37 heads. What is the size of the type I error, giving your answer to 2 decimal places.
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