While playing a board game, Mary noticed that the die landed on the number 4 more often than usual.
Part A: Describe a simulation that could be run to test how many times out of 100 a fair die should land on the number 4. State the representations and possible outcomes. Be sure
to give enough detail that another person could replicate your simulation. (7 points)
Part B: While running a simulation, the die landed on the number 4 a total of 32 times out of the 100 rolls. Construct and interpret a 95% confidence interval for the true proportion of
rolls that will land on the number 4. Show all work. (7 points)
Part C: Does the confidence interval in part B support Mary's suspicions that the die is not fair? Explain your reasoning. (6 points)