A pair of dice is rolled 500 times and we observe the following frequencies for the sum on the faces of the pair of dice. Test the null hypothesis that the dice are balanced at the 5% significance level. The value of the test statistic and the decision are Sum Frequency Probability expected 2,3 or 4 74     5 or 6 120     7 83     8 or 9 135     10, 11 or 12 88     TOTAL 500

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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A pair of dice is rolled 500 times and we observe the following frequencies for the sum on the faces of the pair of dice. Test the null hypothesis that the dice are balanced at the 5% significance level. The value of the test statistic and the decision are

Sum Frequency Probability expected
2,3 or 4 74    
5 or 6 120    
7 83    
8 or 9 135    
10, 11 or 12 88    
TOTAL 500
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