1. A 3 x 5 table is considered to test the association of two variables having 3

Question

1. A 3 x 5 table is considered to test the association of two variables having 3 and 5 categories respectively. A Chi-square test statistic with value 19.0 was obtained. What is the degrees of freedom associated with this test?

2. A 3 x 5 table is considered to test the association of two variables having 3 and 5 categories respectively. A Chi-square test statistic equal to 19.0 was obtained. The p-value for a non-directional test is then:

At least 0.20

Between 0.05 and 0.10

Between 0.01 and 0.02

Smaller than 0.01

At least 0.20

Between 0.05 and 0.10

Between 0.01 and 0.02

Smaller than 0.01

Explanation / Answer

1. Chi square degrees of freedom is (r-1)*(t-1)

Here r=3 and t=5 , Degrees of freedom is 8.

2. Given that Chi square test statistic is 19.0

Then p Value = 0.01486

Answer is Between 0.01 and 0.02.

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