Question

question 5 of 10
are adults without kids in the house more likely to have pets? brenna and melina randomly selected 75 adults at the local mall
and asked each adult two questions: \how many children do you have living at home?\ and \do you have any pets?\
use the graph of their results to determine if there is an
association between number of children and pet ownership
for these shoppers. explain your reasoning.
there an association between number of children and pet ownership because the distribution of pet
ownership the same for each category of number of children. in other words, knowing the number of
children in the house predict pet ownership.

Explanation:

To determine if there is an association between two variables (number of children and pet ownership), we look at the distribution of one variable (pet ownership) across the different categories of the other variable (number of children). If the distribution of pet ownership is different across the categories of number of children, then there is an association. In the given bar - graph (where the height of the blue (No) and non - blue (Yes) segments changes across the number of children categories \(0 - 1\), \(2 - 4\), \(5+\)), the distribution of pet ownership is not the same for each category of the number of children. When the distribution of one variable changes with the levels of another variable, we can say that knowing the value of one variable (number of children) can help us predict (at least to some extent) the value of the other variable (pet ownership).

Answer:

There is an association between number of children and pet ownership because the distribution of pet ownership is not the same for each category of number of children. In other words, knowing the number of children in the house can help predict pet ownership.