Someone flips a coin 12 times to decide whether or not the coin is "fair", i.e., if heads and tails come up an equal amount of times. Give all the elements of a hypothesis test: assumptions, hypotheses, rejection rule including test statistic
Someone flips a coin 12 times to decide whether or not the coin is "fair", i.e., if heads and tails come up an equal amount of times. Give all the elements of a hypothesis test: assumptions, hypotheses, rejection rule including test statistic
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.
Chapter12: Probability
Section12.CR: Chapter 12 Review
Problem 13CR
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Someone flips a coin 12 times to decide whether or not the coin is "fair", i.e., if heads and tails come up an equal amount of times. Give all the elements of a hypothesis test: assumptions, hypotheses, rejection rule including test statistic. If the coin were fair, how often would the test mistakenly decide otherwise if repeated many times? If the coin was unbalanced, i.e. coming up heads 75% of the time and tails 25% of the time, how often would the test mistakenly decide the coin was fair, if repeated many times? What error probabilities do you find here?
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Isn't the n too small for a normal approximation? Should the test statistic follow the t-distribution instead of z?
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