Question: Roulette Casinos are required to verify that their games operate as advertised. American roulette wheels have 38 slots-18 red, 18 black, and 2 green. In one casino, managers record data from a random sample of 200 spins of one of their American roulette wheels. The one-way table below displays the results.
Color: Red Black Green
Count: 85 99 16
(a) State appropriate hypotheses for testing whether these data give convincing evidence that the distribution of outcomes on this wheel is not what it should be.
(b) Calculate the expected counts for each color. Show your work.