Asked by Vilimira Delcheva on Mar 10, 2024

Verified

A chi-square test of independence is applied to a contingency table with 4 rows and 5 columns for two qualitative variables. The degrees of freedom for this test will be:

A) 20

B) 16

C) 15

D) 12

E) 9

A) 20

B) 16

C) 15

D) 12

E) 9

Degrees of Freedom

The number of independent values or quantities that can vary in the analysis of data without violating any constraints.

Contingency Table

A chart utilized in statistics to represent the association among multiple categorical variables.

- Compute the degrees of freedom for chi-square tests across different structures of contingency tables.

Verified Answer

PW

Pershawn Williams

Mar 10, 2024

Final Answer :

D

Explanation :

The degrees of freedom for a chi-square test of independence is calculated as (number of rows - 1) * (number of columns - 1). For a table with 4 rows and 5 columns, this is (4-1)*(5-1) = 3*4 = 12.

## Learning Objectives

- Compute the degrees of freedom for chi-square tests across different structures of contingency tables.

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