What is the power of the test carried out in Problem 3? Problem 3 A coin which

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What is the power of the test carried out in Problem 3?


Problem 3

A coin which is either fair or has two heads is to be tossed twice. You decide on the following decision rule: if two heads occur you will conclude it is a two-headed coin, otherwise you will presume it is fair. Write down the null and alternative hypotheses and calculate the probabilities of Type I and Type II errors.

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