Question

What would be the best way to select an unbiased population-sample that represents the following topic: What is the favorite sport in Mr. Smith's class?

A.Ask four people on your soccer team.
B.Ask, "Do you like silly soccer, or exciting football?"
C.Ask people reading at recess.
D.Randomly survey at least 20 people in the class.

Answer 1

The more random the sample is the more likely that it will represent the population. so in this question D is the most random selection process.

Answer 2

D.Randomly survey at least 20 people in the class.

Explanation:

Sample is said to be unbiased if sample is selected randomly such that every unit of population have equal chance of selection.

A. Asking four people of soccer team is biased as since they were player of soccer team. So, there favorite sport is likely Soccer.

B. It is also biased since the way of question is asked the answer will be probably football.

C. It can be also biased as if the people is reading at recess they must be studious student. So, it can be bias. Also, selection of each student is not equal.

D. Yes, it is the best way to select an unbiased population-sample.

Because selection of each student is equal.