Determine the critical value

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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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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