You are trying to determine if a certain die is fair (has a uniform distribution). You roll the die 90 times and record the outcomes in the table below.Outcome123456Expected151515151515Observed8101316736The first few steps of a chi-square goodness-of-fit test are summarized below.H0: The die is fair.Ha: The die is not fair.α=0.10The test statistic, χ20=38.933.Determine the critical value using the following portion of the χ2-table.dfχ20.10χ20.05χ20.025χ20.01χ20.005...……………47.7799.48811.14313.27714.86059.23611.07012.83315.08616.750610.64512.59214.44916.81218.548712.01714.06716.01318.47520.278813.36215.50717.53520.09021.955

Test is that whether a certain die is fair. The level of significance is 0.10 We will use Chi-square…

Answered: Determine the critical value

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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You are trying to determine if a certain die is fair (has a uniform distribution). You roll the die 90 times and record the outcomes in the table below.

Outcome	1	2	3	4	5	6
Expected	15	15	15	15	15	15
Observed	8	10	13	16	7	36

The first few steps of a chi-square goodness-of-fit test are summarized below.

H0: The die is fair.
Ha: The die is not fair.
α=0.10
The test statistic, χ20=38.933.

Determine the critical value using the following portion of the χ2-table.

df	χ20.10	χ20.05	χ20.025	χ20.01	χ20.005
...	…	…	…	…	…
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
8	13.362	15.507	17.535	20.090	21.955

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