18.05 Lecture Notes - Lecture 7: Mit Opencourseware
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Theory, inference, and learning algorithms" by david j. c. A statistical statement appeared in the guardian on friday january 4, 2002: When spun on edge 250 times, a belgian one-euro coin came up heads 140 times and tails 110. It looks very suspicious to me", said barry blight, a statistics lecturer at the london school of economics. If the coin were unbiased the chance of getting a result as extreme as that would be less than 7%". (a) let be the probability of coming up heads. Consider the null hypothesis that the coin is fair, h0 : = 0. 5. What about = 0. 05? (c) how many heads would you need to have observed out of 250 spins to reject at a signi cance of = 0. 01? (d) (i) fix signi cance at = 0. 05. If we have only two hypotheses: h0 and ha and a at prior.
