Population is a subset of a sample

Population is a subset of a sample: Select one: 0 True Question 0 False

The Correct Answer and Explanation is:

The correct answer is False.

Explanation:

A sample is a subset of a population, not the other way around. Let me break it down further:

  1. Population: In statistical terms, the population refers to the entire group of individuals or items that you are interested in studying or analyzing. It can be a large group (e.g., all the people in a country, all the students in a school, or all the cars in a city). The population is the complete set from which you draw your sample.
  2. Sample: A sample is a smaller, manageable subset of the population that is selected for study. Since it is often impractical to study an entire population (due to time, cost, or logistical constraints), researchers use samples to make inferences about the population. A sample should ideally be representative of the population to ensure valid conclusions can be drawn.
  3. Relationship between Population and Sample: A sample is a subset of the population. This means that all elements in the sample come from the population, but not all elements from the population are necessarily in the sample. For example, if you’re conducting a survey of 1,000 people out of a population of 10,000, your sample is the 1,000 people, while the population is the entire group of 10,000 people.

Thus, it is incorrect to say that the population is a subset of a sample. The population is the larger group, and the sample is a smaller, selected portion of that population.

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