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8. The following test is proposed: To test the hypothesis that a particular coin is “fair”...

8. The following test is proposed: To test the hypothesis that a particular coin is “fair” (equal probabilities of Heads and Tails), the coin is tossed 1000 times. The test will be that if the number of Heads in the 1000 tosses is between 475 and 525, then the statistician will conclude that the coin is “fair”. What is the probability that the statistician concludes that the coin is “fair” when in fact the P(Heads)=0.52 ?  

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