Question: 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?