Question: To test the hypothesis that a coin is fair, the following decision rule is adopted: (1) accept the hypothesis if the number of heads in

To test the hypothesis that a coin is fair, the following decision rule is adopted: 

(1) accept the hypothesis if the number of heads in a single sample of 400 tosses is between 160 and 240 inclusive 

(2) reject the hypothesis otherwise determine the probability of committing type (I) error

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