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Define statistical inference, explaining the relationship between sample and population in this process.

Mathematics

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3 steps

The question asks about the definition of statistical inference.

  1. Understand statistical inference.

    Statistical inference is the process of drawing conclusions about a larger group (a population) based on data collected from a smaller, representative subset of that group (a sample).

  2. Evaluate the given options.

    • Sample; Population: This would mean concluding about a sample based on information from a population, which is the reverse of statistical inference.
    • Population; Sample: This correctly describes statistical inference, where we use information from a sample to make conclusions about a population.
    • Variable; Constant: These are terms related to data characteristics, not the core concept of inference from a subset to a whole.
    • Theory; Hypothesis: While hypothesis testing is a part of statistical inference, the fundamental conclusion is about the population based on sample data, not directly about a theory based on a hypothesis in this general context.
  3. Select the correct option.

    Based on the definition, statistical inference allows us to reach a conclusion about a population based on information from a sample.

    The correct option is Population; Sample.

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