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2.55 Suppose you are going to test a coin to see if it is fair.
(a) You decide to flip it 200 times and to conduct a binomial test with the data you collect. Suppose the coin is actually biased so that it comes up heads 55% of the time. What is probability that your test will have a p-value less than 0.05?
(b) How does your answer change if you flip the coin 400 times in- stead?

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