Question

Hugo is a veterinarian. He knows the following information about his 41 patrons: 20 patrons in total do not have a dog. 17 patrons in total have a cat. 7 patrons have neither a dog nor a cat. Can you help Hugo organize the results into a two-way frequency table? Have a cat, Have a dog

Have a cat, do not have a dog
Do not have a cat, Have a dog
Do not have a dog , Do not have a Cat

Answer 1

have dog Not have dog Total

have cat 4 13 17

not have cat 17 7 24

Total 21 20 41

Explanation:

Total Patrons = 41

20 patrons in total do not have a dog

7 patrons have neither a dog nor a cat.

17 patrons in total have a cat.

have dog Not have dog Total

have cat 17

not have cat 7 24

Total 20 41

Total patrons = 41

Total patrons not have dog = 20

So, Total patrons have dog = 41-20=21

Total patrons not have dog = 20

Patrons have neither a dog nor a cat =7

Patrons have cat but not dog = 20-7 = 13

Total patrons not having cat = 24

Patrons not having cat and not having dog = 7

So, patrons having dog but not having cat =24-7=17

Total patrons have cat = 17

patrons have cat but not dog = 13

So, patrons have cat and dog also = 17-13 =4

So, the required Two way table :

have dog Not have dog Total

have cat 4 13 17

not have cat 17 7 24

Total 21 20 41