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.

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)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

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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Hypothesis testing, Step 2: Deciding on a test statistic. The Genetics & IVF Institute conducted a clinical trial of the YSORT method designed to increase the probability of conceiving a boy. As of this writing, 291 babies were born to parents using the YSORT method, and 239 of them were boys. Use a 0.01 significance level to test the claim that the YSORT method is effective in increasing the likelihood that a baby will be a boy. Which of the following is the correct test statistic to test this claim? O Z-statistic for testing 1 proportion O Z-statistic for testing 2 proportions O Z-statistic for testing 1 mean T-statistic for testing 1 mean T-statistic for testing 2 means Chi-square statistic for testing standard deviation
Part a,b and c have been answered, this is for part d now.
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5
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Solve question (c) please
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