QUESTION IMAGE
Question
researchers asked residents of a city about where they lived and whether they had a dog. the table shows the results of the survey.
| dog | no dog | total | |
|---|---|---|---|
| apartment | 4 | 24 | 28 |
| total | 21 | 45 | 66 |
the researchers concluded there was a positive association between living in a house and having a dog.
select and move options to the blanks to justify the positive association.
all residents who have a dog all residents who do not have a dog
all residents who live in a house all residents who live in an apartment
residents living in a house who have a dog residents living in a house who do not have a dog
there is a positive association because the percentage of
Step1: Calculate percentage of dog - owners among house - dwellers
The number of residents living in a house who have a dog is 17, and the total number of residents living in a house is 38. The percentage is $\frac{17}{38}\times100\%\approx44.74\%$.
Step2: Calculate percentage of dog - owners among apartment - dwellers
The number of residents living in an apartment who have a dog is 4, and the total number of residents living in an apartment is 28. The percentage is $\frac{4}{28}\times100\%\approx14.29\%$.
Step3: Compare the percentages
Since $44.74\%>14.29\%$, there is a positive association. This is because the percentage of residents living in a house who have a dog is higher than the percentage of residents living in an apartment who have a dog.
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residents living in a house who have a dog; residents living in an apartment who have a dog