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You have an alphabetical list of all 10,000 non-managerial employees in your company, and you want...

You have an alphabetical list of all 10,000 non-managerial employees in your company, and you want to choose a random sample of 200 of them for a survey. To do this, you randomly choose an integer from 1 to 10,000/200, that is, from 1 to 50. Then, for example, if this integer is 17, your sample is 17th "block" of 200 people in the list, i.e., people indexed from 200*16+1 to 200*16+200. Which of the following is true of this sampling plan?

a. Each possible sample in this sampling plan has probability 1/200 of being chosen.
b. This "random" sample is not random at all.
c. This sampling plan is really equivalent to simple random sampling.
d. Each possible sample in this sampling plan has probability 1/50 of being chosen.
math   Statistics-And-Probability   
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Answer #1

This is actually a type of systematic sample which is also a random sample. So,

Each possible sample in this sampling plan has probability 1/50 of being chosen.

Option D is correct.

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