Over 10 games, John wins all of them and you begin to suspect that he is cheating by rigging the dice. To check, 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?

The χ2 test statistic for goodness of fit is, χ2=∑i(fi-ei)2eiwhere fi=ith observed frequency…

Answered: Over 10 games, John wins all of them…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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, 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?

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