Question

When performing a ? test for independence in a contingency table with rrows and c columns, determine the upper-tail critical value of the test statistic in each of the following

circumstances.
a. a=0.05, r=3, c=4
b. a=0.01, r=5, c=6
c. a=0.01, r=5, c=4
d. a=0.01, r=3, c=4
e. α=0.01, r=6, c=5
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a. The critical value is (Round to three decimal places as needed)
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12/18/2022

Answer 1

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Explanation:

To determine the upper-tail critical value of the test statistic for a chi-square test for independence in a contingency table, you can use a table of critical values for the chi-square distribution or you can use a statistical software package or calculator to compute the critical value.

In each of the following circumstances:

a. a=0.05, r=3, c=4: The critical value would be the upper-tail critical value of the chi-square distribution with 3 degrees of freedom and an alpha level of 0.05.

b. a=0.01, r=5, c=6: The critical value would be the upper-tail critical value of the chi-square distribution with 5 degrees of freedom and an alpha level of 0.01.

c. a=0.01, r=5, c=4: The critical value would be the upper-tail critical value of the chi-square distribution with 5 degrees of freedom and an alpha level of 0.01.

d. a=0.01, r=3, c=4: The critical value would be the upper-tail critical value of the chi-square distribution with 3 degrees of freedom and an alpha level of 0.01.

e. α=0.01, r=6, c=5: The critical value would be the upper-tail critical value of the chi-square distribution with 6 degrees of freedom and an alpha level of 0.01.

It's important to note that the critical value is dependent on the degrees of freedom and the alpha level, so you will need to use the appropriate values for these parameters in order to determine the correct critical value.