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Roulette An American roulette wheel has 18 red slots among its 38 slots. To test if...

Roulette An American roulette wheel has 18 red slots among its 38 slots. To test if a particular roulette wheel is fair, you spin the wheel 50 times and the ball lands in a red slot 31 times. The resulting P-value is 0.0384.

(a) Interpret the P-value in context.

(b) Are the results statistically significant at the a = 0.05 level? Explain. What conclusion would you make?

c) The casino manager uses your data to produce a 99% confidence 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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