A player in a craps game suspects that one of the dice is loaded. A loaded die is one in which all the possibilities (1, 2, 3, 4, 5, and 6) are not equally likely. The player throws the die 400 times, records the outcome after each throw, and obtains the following results:

(a) Do you think that the die is loaded? Use the α = 0.01 level of significance.
(b) Why do you think the player might conduct the test at the α = 0.01 level of significance rather than, say, the α = 0.1 level of significance?