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# Please answer this question?

You have a coin of unknown fairness. Devise a test procedure to test its fairness; that is, to decide whether or not the coin is fair. Take the null hypothesis to be "the coin is fair". Pick a level of significance, and number of tosses to perform.

(a) What is the probability that you will conclude the coin is unfair, whereas in fact it is fair?(b) Assuming in reality, the probability that the coin will produce heads is 0.55. What is theprobability that you will conclude that the coin is fair?

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