I only need (c) explained in detail. How do you arrive at the critical value? Yo

Question

I only need (c) explained in detail. How do you arrive at the critical value?

You are conducting a test of the claim that the row variable and the column variable are dependent in the following contingency table. Give all answers rounded to 3 places after the decimal point, if necessary. (a) Enter the expected frequencies below: (b) What is the chi-square test-statistic for this data? Test Statistic: chi^2 = 1.419 c) What is the critical value for this test of independence when using a significance level of alpha = 0.005? Critical Value: chi^2 = 9.925

Explanation / Answer

C) Degree of freedom = (number of row -1)* (number of column -1) = ( 2-1)*(3-1) = 2

We have given, level of significance 0.005

We can direct use Excel,

=CHIINV(0.005,2)

=10.597

Also see critical value by table method.

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