You are going to flip a coin 12 times to decide whether or not it is “fair”—coming up “heads” and “tails” equally often. State all the elements of a hypothesis test: assumptions, hypotheses, rejection rule including test statistic, etc. (realizing the ? in this binomial is too small for a normal approximation). Further, if the coin were fair, how often (if repeated many times) would your test mistakenly decide otherwise? If the coin was unbalanced, coming up “heads” 75% of the time and only 25% for tails, how often (if repeated many times) would your test mistakenly decide that the coin was fair? What error probabilities would you find here?
You are going to flip a coin 12 times to decide whether or not it is “fair”—coming up “heads” and “tails” equally often. State all the elements of a hypothesis test: assumptions, hypotheses, rejection rule including test statistic, etc. (realizing the ? in this binomial is too small for a normal approximation). Further, if the coin were fair, how often (if repeated many times) would your test mistakenly decide otherwise? If the coin was unbalanced, coming up “heads” 75% of the time and only 25% for tails, how often (if repeated many times) would your test mistakenly decide that the coin was fair? What error probabilities would you find here?
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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You are going to flip a coin 12 times to decide whether or not it is “fair”—coming up “heads” and “tails”
equally often. State all the elements of a hypothesis test: assumptions, hypotheses, rejection rule including test statistic, etc. (realizing the ? in this binomial is too small for a normal approximation).
Further, if the coin were fair, how often (if repeated many times) would your test mistakenly decide otherwise? If the coin was unbalanced, coming up “heads” 75% of the time and only 25% for tails, how often (if repeated many times) would your test mistakenly decide that the coin was fair? What error probabilities would you find here?
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