We know that the probability of a player winning a dice game at a casino is 49.3%. You observe that in the last 390 games played the player won 198 times.

a) At the .01 level is the player winning at a percentage higher than expected? (note p-value = .281)

b) Does the casino have evidence to conclude the player is cheating based on the test based on a)? explain

c) The 99% confidence interval from the computer says "99% for p is .4488 or more" explain what this means in context of the problem

d) Interpret the p-value

e) What is the only type of error that could have occurred and explain in context