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in the interior of the table. state the marginal relative frequencies i…

Question

in the interior of the table.
state the marginal relative frequencies in the framework below. these numbers are found on the outside of the table. this completes your answer to part a.

Explanation:

Step1: Recall marginal - relative - frequency formula

Marginal relative frequency is the ratio of a row or column total to the grand total. The grand total is 101.

Step2: Calculate marginal relative frequencies for cat - owners row

For cat - owners, the total is 35. The marginal relative frequency for cat - owners is $\frac{35}{101}\approx0.347$. For homeowners in cat - owners row: $\frac{16}{101}\approx0.158$, for renters in cat - owners row: $\frac{19}{101}\approx0.188$.

Step3: Calculate marginal relative frequencies for dog - owners row

For dog - owners, the total is 66. The marginal relative frequency for dog - owners is $\frac{66}{101}\approx0.653$. For homeowners in dog - owners row: $\frac{44}{101}\approx0.436$, for renters in dog - owners row: $\frac{22}{101}\approx0.218$.

Step4: Calculate marginal relative frequencies for total row/column

For homeowners total, the marginal relative frequency is $\frac{60}{101}\approx0.594$. For renters total, the marginal relative frequency is $\frac{41}{101}\approx0.406$. The grand - total marginal relative frequency is $\frac{101}{101} = 1$.

HomeownersRentersTotal
$\frac{44}{101}\approx0.436$$\frac{22}{101}\approx0.218$$\frac{66}{101}\approx0.653$
$\frac{60}{101}\approx0.594$$\frac{41}{101}\approx0.406$1

Answer:

HomeownersRentersTotal
$\frac{44}{101}\approx0.436$$\frac{22}{101}\approx0.218$$\frac{66}{101}\approx0.653$
$\frac{60}{101}\approx0.594$$\frac{41}{101}\approx0.406$1