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

1 answer

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.

From the table:

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

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

Total number of students who own a bird = 8 (Sample 1) + 12 (Sample 2) = 20

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

Total number of students = 100 (Sample 1) + 100 (Sample 2) = 200

Finally, we calculate the percentage of students who own a bird as follows:

\[ \text{Percentage of students owning a bird} = \left( \frac{\text{Total number of bird owners}}{\text{Total number of students}} \right) \times 100 \]

\[ \text{Percentage} = \left( \frac{20}{200} \right) \times 100 = 10% \]

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