Given below are two statements. In the light of the above statements, choose the correct answer from the options given below.

Statement I:Sampling where each member cannot be chosen more than once is called 'sampling with replacement'.

Statement II:Sampling where each member may be chosen more than once is called 'sampling without replacement'.

ABoth Statement I and Statement II are true

BBoth Statement I and Statement II are false ✓ Correct

CStatement I is true but Statement II is false

DStatement I is false but Statement II is true

Correct answer: (B) Both Statement I and Statement II are false

Explanation

Both statements are false because each swaps the correct definition.

Sampling in which a member cannot be chosen more than once is sampling without replacement, not with replacement.

Sampling in which a member may be chosen more than once is sampling with replacement, not without.

Statement 1 mislabels the without-replacement case as with replacement.

Statement 2 mislabels the with-replacement case as without replacement.

Sampling with replacement keeps the population composition constant across draws.

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