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The centre of the sampling distribution of proportions for a binary variable is:
The sampling distribution of the mean is the distribution we would obtain if we took all possible samples of size n from the population and computed the corresponding sample means and looked at their distribution.
If a result is statistically significant it will necessarily be business significant.
Statistical inference draws conclusions about a sample based on the data of the population.
The possibility of doing statistical inference highly depends on how representative the sample is of the population under study.
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