The data from two random samples of 100 students regarding what pet they own is given below.
Sample 1 : 54, 38, 8 = 100
Sample 2 : 39, 49, 12 = 100
Dog : 54, 39
Cat : 38, 49
Bird : 8, 12
Based on the two samples, what percentage of students own a bird as a pet?
The total number of students who own a bird as a pet is 8 + 12 = 20.
The total number of students in both samples is 100 + 100 = 200.
Therefore, the percentage of students who own a bird as a pet is:
(20/200) x 100 = 10%.
So, 10% of the students own a bird as a pet based on the two samples.
To find the percentage of students who own a bird as a pet based on the two samples, we need to calculate the proportion of students who own a bird and then convert it into a percentage.
In Sample 1, there were 8 students who own a bird out of a total of 100 students:
Proportion of students in Sample 1 who own a bird = (8/100) = 0.08
In Sample 2, there were 12 students who own a bird out of a total of 100 students:
Proportion of students in Sample 2 who own a bird = (12/100) = 0.12
To find the overall proportion of students who own a bird, we can calculate the average of the two proportions:
Overall proportion of students who own a bird = (0.08 + 0.12) / 2 = 0.1
Now, to convert this proportion into 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, approximately 10% of students own a bird as a pet.