Answer with explanation:
We are given a Venn Diagram that represents the results of a survey that asked participants whether they would want a dog or a cat as a pet.
So, based on the Venn diagram we can make the two way table based on the given data.
Dog Not dog Total
Cat 31 10 41
Not Cat 24 7 31
Total 55 17 72
( since, the region that represents cat and dog both is the intersection of cat and dog in the Venn diagram which is 31.
Also, the region cat but not dog is the region of cat excluding the common region i.e. intersection region.
Also, the region dog but not cat represent the region of dog excluding the intersection region.
and not cat not dog represent the region outside the circle i.e. 7 )