Determine whether the following statement is true or false. Explain. When taking

Question

Determine whether the following statement is true or false. Explain.

When taking a systematic random sample of size n, every group of size n from the population has the same chance of being selected.

Choose the correct answer below:

A.False, because certain groups would never be selected.

B.False, because a systematic sample requires a frame.

C.True, because any random sampling implies every group has an chance of selection.

D.True, because since k is chosen randomly, every group has an equal chance of selection.

Explanation / Answer

When taking a systematic random sample of size n, every group of size n from the population has the same chance of being selected.

Answer is : A.False, because certain groups would never be selected.

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