In a survey of students at a local high school, 30% of the students said they liked tater tots and 15% of the students said they like French fries. If every one of the students who said they like French fries also said they like tater tots, what proportion of the students responding to the survey said they liked at least one of the two side dishes? (1 point)
3/20
3/10
9/20
11/20
7/10
should be 3/10
To find the proportion of students who said they liked at least one of the two side dishes, we need to calculate the union of the two groups: the students who like tater tots and the students who like French fries.
First, let's find the proportion of students who like both tater tots and French fries:
Since every student who likes French fries also likes tater tots, the proportion of students who like both is equal to the proportion of students who like French fries, which is 15%.
Next, we need to find the proportion of students who like only tater tots. Since the proportion of students who like tater tots is 30%, and the proportion of students who like both is 15%, we can subtract the proportion of students who like both from the proportion who like tater tots:
30% - 15% = 15%.
Now, let's calculate the proportion of students who like at least one of the two side dishes. This can be done by adding the proportion of students who like only tater tots to the proportion of students who like both:
15% + 15% = 30%.
Therefore, the proportion of students who said they liked at least one of the two side dishes is 30%. This corresponds to the answer choice 3/10.