Question

The data from two random samples of 100 students regarding what pet they own is given below.

This table presents data from two random samples of 100 students each, showing the number of students who own a dog, cat, or bird.
Dog Cat Bird Total
Sample 1 54 38 8 100
Sample 2 39 49 12 100
Based on the two samples, what percentage of students own a bird as a pet?

(1 point)
___ %

Answer 1

To find the percentage of students who own a bird as a pet based on the two samples, we first need to determine the total number of students who own a bird across both samples and then divide that by the total number of students surveyed.

From the data:

- Sample 1: 8 students own a bird
- Sample 2: 12 students own a bird

Now, we can calculate the total number of students who own a bird:

\[
\text{Total bird owners} = \text{Sample 1 bird owners} + \text{Sample 2 bird owners} = 8 + 12 = 20
\]

Next, we add the total number of students from both samples:

\[
\text{Total students} = 100 + 100 = 200
\]

Now, we can find the percentage of students who own a bird:

\[
\text{Percentage of bird owners} = \left( \frac{\text{Total bird owners}}{\text{Total students}} \right) \times 100 = \left( \frac{20}{200} \right) \times 100 = 10\%
\]

Therefore, the percentage of students who own a bird as a pet is **10%**.