The given statement, "every element of the total population has an equal probability of being selected," is a false statement regarding cluster sampling.
In cluster sampling, we divide a population into clusters, which are smaller groups, then we choose a sample at random from these clusters.
Often employed to investigate huge populations, particularly those extensively geographically distributed, cluster sampling is a probability sampling technique.
The terms "simple random sample" and "simple random sampling" refer to situations where each subject in the population shows an equal chance of being selected for the sample.
The given question is incomplete, the complete question is
Select the statement regarding cluster sampling that is false.
a) Every element of the total population has an equal probability of being selected.
b) Every element of some groups is included in the sample.
c) Some of the groups are randomly selected.
d) The total population is divided into groups.
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