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Q. 7

Expert-verified
Found in: Page 734

### The Practice of Statistics for AP

Book edition 4th
Author(s) David Moore,Daren Starnes,Dan Yates
Pages 809 pages
ISBN 9781319113339

# The appropriate degrees of freedom for the ${x}^{2}$ statistic is(a) 1 .(b) 2 .(c) 3 .(d) 4 .(e) 5 .

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

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

See the step by step solution

## 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.

localid="1650541311764" $df=\left(c-1\right)\left(r-1\right)\phantom{\rule{0ex}{0ex}}=\left(2-1\right)\left(3-1\right)\phantom{\rule{0ex}{0ex}}=\left(1\right)\left(2\right)\phantom{\rule{0ex}{0ex}}=2$