A player in a craps game suspects that one of the dice being

A player in a craps game suspects that one of the dice being used is loaded. The player (who is really bored during stats class) throws the die 400 times, records the outcome after each throw, and obtains the following results. Outcome Frequency 1 62 2 76 3 76 Outcome Frequency 4 62 5 57 6 67 (a) Do you think the die is loaded? Use an = 0:01 level fo significance for the hypothesis test. (b) Why do you think the player might conduct the test at = 0:01 rathern than, say = 0:10?

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