Roulette A roulette wheel has 18 red slots among its 38

Chapter 9, Problem 9.64

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Roulette A roulette wheel has 18 red slots among its 38 slots. You observe many spins and record the number of times that red occurs. Now you want to use these data to test whether the probability p of a red has the value that is correct for a fair roulette wheel. (a) State the hypotheses H0 and Ha that you will test. (b) In 50 spins, the ball landed in a red slot 31 times. Carry out a signifi cance test and report your conclusion. (c) Th e casino manager uses your data to produce a 99% confi dence interval for p and gets (0.44, 0.80). He says that this interval provides convincing evidence that the wheel is fair. How do you respond?

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