Over 10 games, John wins all of them and you begin to suspect that he is cheating by rigging the dice. To check this, you roll two dice 200 times (observing the sum of the numbers facing up) that were being used for the games:Sum of two DiceNumber of Occurrences2931141552963371483191910211181210Perform a chi-squared goodness of fit test to test the null hypothesis that the dice are fair versus the alternative that the dice are not fair. What is the p-value of this test? a) .129b) .336c) .052d) .011e)none of the above/alternative answer

% Sum of two Dice Number of Occurrences Expected (O-E)^2 (O-E)^2/E 0.027778 2 9 5.555556 11.8642…

Answered: Perform a chi-squared goodness of fit…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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Over 10 games, John wins all of them and you begin to suspect that he is cheating by rigging the dice. To check this, you roll two dice 200 times (observing the sum of the numbers facing up) that were being used for the games:

Sum of two Dice	Number of Occurrences
2	9
3	11
4	15
5	29
6	33
7	14
8	31
9	19
10	21
11	8
12	10

Perform a chi-squared goodness of fit test to test the null hypothesis that the dice are fair versus the alternative that the dice are not fair. What is the p-value of this test?

a) .129

b) .336

c) .052

d) .011

e)none of the above/alternative answer

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