Question

state the joint relative frequencies in the framework below. remember that these numbers are found in the interior of the table.

	homeowners	renters	total
dog owners	44	22	66
total	60	41	101

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.

	homeowners	renters	total
dog owners
total

Explanation:

Step1: Calculate joint relative frequencies

Joint relative frequency = cell value / total value.
For cat - owners and homeowners: $\frac{16}{101}\approx 0.158$
For cat - owners and renters: $\frac{19}{101}\approx 0.188$
For dog - owners and homeowners: $\frac{44}{101}\approx 0.436$
For dog - owners and renters: $\frac{22}{101}\approx 0.218$

Step2: Calculate marginal relative frequencies

Marginal relative frequency for cat - owners: $\frac{35}{101}\approx 0.347$
Marginal relative frequency for dog - owners: $\frac{66}{101}\approx 0.653$
Marginal relative frequency for homeowners: $\frac{60}{101}\approx 0.594$
Marginal relative frequency for renters: $\frac{41}{101}\approx 0.406$
Marginal relative frequency for total (which is 1)

Answer:

Joint relative frequencies:

	Homeowners	Renters
Dog Owners	$\frac{44}{101}\approx 0.436$	$\frac{22}{101}\approx 0.218$

Marginal relative frequencies:

	Homeowners	Renters	Total
Dog Owners	$\frac{44}{101}\approx 0.436$	$\frac{22}{101}\approx 0.218$	$\frac{66}{101}\approx 0.653$
Total	$\frac{60}{101}\approx 0.594$	$\frac{41}{101}\approx 0.406$	1