Can a Sample Statistic Be Equal to the Population Parameter?

A sample statistic can never be equal to the population parameter. Point estimates are defined for both samples and populations. To calculate a sample proportion, we need to know the population size.

What is the sample statistic that is used to approximate the population parameter?

The point estimate of the mean is a single value estimate for a population parameter. The most unbiased point estimate of a population mean (µ) is the sample mean (¯x ).

Can the sample equal the population?

Now of course the sample mean will not equal the population mean. But if the sample is a simple random sample, the sample mean is an unbiased estimate of the population mean. This means that the sample mean is not systematically smaller or larger than the population mean.