2.3 A football referee uses the same coin for the coin toss at the start of every game he referees. Karam suspects the coin is biased towards heads. He decides to record the result of each toss for the next 16 matches, and carry out a hypothesis test at a 5% level of significance. (1) Find the probability of a Type I error and state what is meant by a Type I error in this context. (2) Explain why a Type II error is possible if there are 11 tails.

A First Course in Probability (10th Edition)
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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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2.3 A football referee uses the same coin for the coin toss at the start of every game he referees.
Karam suspects the coin is biased towards heads. He decides to record the result of each
toss for the next 16 matches, and carry out a hypothesis test at a 5% level of significance.
(1) Find the probability of a Type I error and state what is meant by a Type I error in this context.
(2) Explain why a Type II error is possible if there are 11 tails.
Transcribed Image Text:2.3 A football referee uses the same coin for the coin toss at the start of every game he referees. Karam suspects the coin is biased towards heads. He decides to record the result of each toss for the next 16 matches, and carry out a hypothesis test at a 5% level of significance. (1) Find the probability of a Type I error and state what is meant by a Type I error in this context. (2) Explain why a Type II error is possible if there are 11 tails.
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