Question

Which of the following statements about random sampling is correct: (i) Each element of the population...

Which of the following statements about random sampling is correct:

(i) Each element of the population has an equal probability of being

included in the sample.

(ii) It is impossible to collect 'bad' samples, that is samples which are

unrepresentative of the population.

(iii) The population is divided into 'clusters' and one or more of these

clusters are then randomly chosen.

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

The correct answer is:

(i) Each element of the population has an equal probability of being included in the sample.

SRS or simple random sampling is based on the premise that every element of the population being sampled has an equal probability of being selected.

These are false:

(ii) It is impossible to collect 'bad' samples, that is samples that are unrepresentative of the population.

It is possible if we are collecting a small sample or any other various scenarios samples which are unrepresentative of the population.

(iii) The population is divided into 'clusters' and one or more of these clusters are then randomly chosen.

This is the procedure in the case of cluster sampling. It does not apply to random sampling in general.

Please do upvote if you are satisfied! Let me know in the comments if anything is not clear. I will reply ASAP!

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