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.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.2: Probability
Problem 3E: The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the...
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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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