The most foundational assumption upon which statistical inference is based is that you have a random or probability sample of the population
Both probability sampling and random sampling are important considerations in statistical inference as they ensure that the sample is representative of the population and that the conclusions drawn from the sample are valid. Being a probability sample means that every member of the population has a known and non-zero probability of being selected for the sample. This helps to ensure that the sample is representative of the population because every member of the population has a chance of being included.
A sample can be also representative of a population by being a random sample, meaning that every member of the population has an equal chance of being selected for the sample. This helps to ensure that the sample is representative of the population because there is no bias in the selection process.
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