Use the table to answer the question.
Preferences | Mountains Seaside Island
Hiking | 45 20 12
Swimming | 12 53 40
Given the data in the table, what is the relative frequency that the people who prefer island vacations also prefer swimming? Round the percentage to the nearest tenth.
(1 point)
To find the relative frequency of people who prefer island vacations and also prefer swimming, we need to divide the number of people who prefer island vacations and swimming by the total number of people who prefer island vacations.
From the table, there are 40 people who prefer island vacations and swimming.
To find the total number of people who prefer island vacations, we add the number of people who prefer hiking and swimming on islands:
12 (hiking) + 40 (swimming) = 52
Now we can calculate the relative frequency of people who prefer island vacations and also prefer swimming:
40 (people who prefer island vacations and swimming) / 52 (total number of people who prefer island vacations) ≈ 0.7692
Converting this to a percentage, we get:
0.7692 * 100 ≈ 76.9%
Therefore, the relative frequency that the people who prefer island vacations also prefer swimming is approximately 76.9%.