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Math  /  Data & Statistics

QuestionGive the degrees of freedom for the chi-square test based on the two-way table. \begin{tabular}{l|llll|l} \hline & D & E & F & G & Total \\ \hline A & 39 & 34 & 43 & 34 & 150 \\ B & 78 & 89 & 70 & 93 & 330 \\ C & 23 & 37 & 27 & 33 & 120 \\ \hline Total & 140 & 160 & 140 & 160 & 600 \\ \hline \end{tabular}
Degrees of freedom == □\square

Studdy Solution
Calculate the degrees of freedom using the formula:
Degrees of freedom=(r−1)×(c−1)=(3−1)×(4−1)=2×3=6\text{Degrees of freedom} = (r-1) \times (c-1) = (3-1) \times (4-1) = 2 \times 3 = 6
The degrees of freedom for the chi-square test is:
6 \boxed{6}

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