Question

srs of students? at a party, there are 30 students over age 21 and 20 students under age 21. you choose at random 3 of those over 21 and separately choose at random 2 of those under 21 to interview about their attitudes toward alcohol. you have given every student at the party the same chance to be interviewed. is your sample an srs? explain your answer.

Answer 1

By using the concept of simple random sampling, it can be inferred that the given situation is not a simple random sampling

What is simple random sampling?

Simple random Sampling is the technique in which every member of the subset has the equal chance of being selected

Here the subsets are 30 students above age 21 and 20 students under age 20

For the 30 students above age 21,

Number of students interviewed = 3

Probability of selection = $\frac{3}{30} = \frac{1}{10}$

For the 20 students above under 21,

Number of students interviewed = 2

Probability of selection = $\frac{2}{20} = \frac{1}{10}$

All combination of students have equal probability being chosen

Now Probability of choosing student above age 21 = $\frac{30}{50}$ = $\frac{3}{5}$

Probability of choosing student below age 21 = $\frac{20}{50}$ = $\frac{2}{5}$

Here probability is not same

So this is not a simple random sampling

To learn more about simple random sampling, refer to the link-

https://brainly.com/question/13219833

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