Stacy and Leslie are playing a very simple gambling game. They toss a coin and Stacy...

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Stacy and Leslie are playing a very simple gambling game. Theytoss a coin and Stacy wins if it comes up “heads” while Leslie winsif it comes up “tails.” After 12 hours of gambling, Leslie beginsto suspect that Stacy has been cheating because Stacy has won moregames. Leslie accuses Stacy, but Stacy pleads innocent and proposesto test Leslie’s claim by doing an experiment in which the coin istossed 14 times.
State the null and alternative hypotheses for thisexperiment.
If ? = .01, what is the rejection region?
They do the experiment and “heads” occurs 8 times. What canthey conclude? What if heads comes up 12 times?
Let’s assume that Stacy actually is cheating because she isusing a coin that is biased to come up “heads” 55% of the time.What was the power of the experiment they did?
Given the power of the experiment, was Stacy clever or stupidto propose it as a test to Stacy?

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4.2 Ratings (729 Votes)

This is a case of binomial testing for populationproportionWe are testing for the probability of getting heads The claimis that Stacy is cheating that means the probability of gettingheads is more than getting tailsState the null and alternative hypotheses for thisexperimentThecoin is unbiased and that Stacy is not cheating Pheads 05VSThecoin is biased and that Stacy is cheating Pheads 05If 01 what is the rejection regionSince this a binomial experiment we take the normalapproximation See Answer

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