Question
In: Statistics and Probability
As part of a school project students will be randomly sampling from the students in the...
As part of a school project students will be randomly sampling from the students in the class. The assignment is to estimate the proportion of students who play on a sports team. Each student will randomly select 6 students. One student found out that 3 of the 6 play a sport. The teacher has collected data from all students and found that out of the 31 students in the class 21 of them played sports.
Give the statistic for the percentage of students who play sports.
____%
Solutions
Expert Solution
Solution:
As part of a school project, students will be randomly sampling from the students in the class. The assignment is to estimate the proportion of students who play on a sports team.
Each student will randomly select 6 students. One student found out that 3 of the 6 play a sport.
The teacher has collected data from all students and found that out of the 31 students in class 21 of them played sports.
We have to give the statistic for the percentage of students who play sports.
We know, statistics is a function of sample values or observations and we estimate unknown parameter using the statistics.
Here, we have one sample of where one student found out that 3 of the 6 play a sport.
Hence, the statistic for the percentage of students who play sports is given by,
where, 
Answer: The statistic for the percentage of students who play sports is = 50%.
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