You are trying to determine if a certain die is fair (has a uniform distribution). You roll the die 96 times and record the outcomes.You conduct a chi-square Goodness-of-Fit hypothesis test at the 1% significance level.(a) The null and alternative hypotheses are:H0: The die has the uniform distribution.Ha: The die does not have the uniform distribution.(b) χ20=21.750. (c) Determine the critical value using the following portion of the χ2-table.dfχ20.10χ20.05χ20.025χ20.01χ20.005...……………36.2517.8159.34811.34512.83847.7799.48811.14313.27714.86059.23611.07012.83315.08616.750610.64512.59214.44916.81218.548712.01714.06716.01318.47520.278Provide your answer below: Critical Value=

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Problem 1P

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You are trying to determine if a certain die is fair (has a uniform distribution). You roll the die 96 times and record the outcomes.

You conduct a chi-square Goodness-of-Fit hypothesis test at the 1% significance level.

(a) The null and alternative hypotheses are:

H0: The die has the uniform distribution.
Ha: The die does not have the uniform distribution.

(b) χ20=21.750.

df	χ20.10	χ20.05	χ20.025	χ20.01	χ20.005
...	…	…	…	…	…
3	6.251	7.815	9.348	11.345	12.838
4	7.779	9.488	11.143	13.277	14.860
5	9.236	11.070	12.833	15.086	16.750
6	10.645	12.592	14.449	16.812	18.548
7	12.017	14.067	16.013	18.475	20.278

Provide your answer below:

Critical Value=

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