Q. 7 - The Practice of Statistics for AP

Question

The appropriate degrees of freedom for the $x^2$ statistic is

(a) 1 .

(b) 2 .

(c) 3 .

(d) 4 .

(e) 5 .

Step-by-Step Solution

Answer

Option $\left(b\right)$is the correct answer.

The appropriate degrees of freedom for the $x^2$statistic is $2$.

Step 1: Given Information

Need to find The appropriate degrees of freedom for the $x^2$ statistic .

Step 2: Explanation

The number of columns in the given table is:

$c=3$

The number of rows in the given table is:

$r=2$

The number of degrees of freedom is the product of the number of columns decreased by 1 and the number of rows decreased by 1.

$$\begin{gathered} d f=(c-1)(r-1) \\ =(2-1)(3-1) \\ =\left(1\right)\left(2\right) \\ =2 \end{gathered}$$