Yes.
Yes.
Yes.
Yes.
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A sample is a subset of the population.
The sample is a subset of the population.
Yes it is.
It is not a sample. A sample must be a proper subset of the whole population.
A population survey, better known as a census, entails the collection of each unit in the population. In sample survey information is collected from a subset of the population. The subset, or sample, needs to be selected carefully so that it is representative of the whole population and, if that requirement is met, statistics based on the sample are good estimators for the corresponding population parameters.