The data from two random samples of 100 students regarding what pet they own is given below.
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?
The total number of students owning a bird in both samples is 8 + 12 = 20.
The total number of students in both samples is 100 + 100 = 200.
Therefore, the percentage of students owning a bird as a pet is:
(20/200) x 100 = 10%
So, 10% of students own a bird as a pet based on the two random samples of 100 students.
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To find the percentage of students who own a bird as a pet, we need to calculate the proportion of students who own a bird in each sample and then combine the proportions.
In Sample 1, the number of students who own a bird is 8, out of a total of 100 students. Therefore, the proportion of students who own a bird in Sample 1 is 8/100 = 0.08.
In Sample 2, the number of students who own a bird is 12, out of a total of 100 students. Therefore, the proportion of students who own a bird in Sample 2 is 12/100 = 0.12.
To find the combined proportion, we can take the average of the proportions from both samples:
Combined proportion = (0.08 + 0.12) / 2 = 0.2 / 2 = 0.1
To convert this proportion to a percentage, we can multiply it by 100:
Percentage of students who own a bird = 0.1 * 100 = 10%
Therefore, based on the two samples, 10% of the students own a bird as a pet.