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

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 calculate the percentage of students who own a bird as a pet based on the two samples, we first need to find the total number of students who own a bird across both samples.

From the data provided:

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

Now, we add the number of bird owners from both samples:

\[ 8 + 12 = 20 \text{ students who own a bird} \]

Next, we need to calculate the total number of students surveyed across both samples:

\[ 100 \text{ (Sample 1)} + 100 \text{ (Sample 2)} = 200 \text{ students} \]

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

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

Substituting the values:

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

Thus, based on the two samples, 10% of students own a bird as a pet.