Mark goes on a trip to the Seminole Hard Rock casino. He promptly loses all his

Question

Mark goes on a trip to the Seminole Hard Rock casino. He promptly loses all his money at the craps table. Being mad, he decides to watch the next 360 dice rolls to determine if the dice were rigged. He finds that 1 came up 51 times, 2 49 times, 3 65 times, 4 67 times, 5 60 times, and 6 68 times (given probabilities are all 1/6). He runs the following analysis in order to determine if the dice were weighted or he is just a degenerate gambler:

1. Interpret the results

dice rolls L1 51 49 65 67 60 68 sum(dice rolls) [1] 360 chi sq. test (dice rolls) Chi-squared test for given probabilities data dice rolls x-squared 5.6667, df 5, p-value 0.34

Explanation / Answer

Null and Alternative Hypothesis:

H0: The dice were not rigged

H1: The dice were rigged

Level of significance:

a = .05

Test Statistics:

X^2 = 5.6667

p-value = 0.34

Decision:

Here p-value is greater than the level of significance; the null hypothesis cannot be rejected at 5% level of significance.

Conclusion:

There is not sufficient evidence to conclude that dice were rigged.

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