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Define statistical inference, explaining the relationship between sample and population in this process.
Mathematics
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3 stepsThe question asks about the definition of statistical inference.
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).
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.
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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