The null hypothesis always refers to a population statistic (e.g., the mean of X in the population).Select one:TrueFalse

Step 1: Understanding the Statement

The statement mentions that the null hypothesis refers to a population statistic, specifically the mean of a population.

Step 2: Defining Null Hypothesis

The null hypothesis, denoted as $H_0$, is a statement that assumes no effect or no difference in the context of the hypothesis test. It often specifies a population parameter (like a population mean) as being equal to a certain value.

Step 3: Analyzing the Relation to Population Statistics

1. In hypothesis testing, the null hypothesis typically makes a claim about one or more population parameters, such as the population mean ($\mu$).
2. For example, $H_0: \mu = \mu_0$ (where $\mu_0$ is a specific value).

Step 4: Conclusion

Given that the null hypothesis often pertains to population parameters (like the mean), the statement is accurate.

Final Answer

True. The null hypothesis always refers to a population statistic, such as the mean of $X$ in the population.