A null hypothesis with a one-sample test can be formulated with a <, > or ≠Group of answer choicesTrueFalse

Answer

The statement is True.

In hypothesis testing, a null hypothesis ($H_0$) can indeed be formulated using three different forms: less than ($<$), greater than ($>$), or not equal to ($\neq$). The choice of formulation depends on the context of the research question and what the researcher intends to test.

1. Null Hypothesis ($H_0$) using <: This form is common in one-tailed tests, where the hypothesis posits that a population parameter is less than a certain value. For example, $H_0: \mu < \mu_0$.

2. Null Hypothesis ($H_0$) using >: This is also used in one-tailed tests, where it suggests that the population parameter is greater than a specific value. For instance, $H_0: \mu > \mu_0$.

3. Null Hypothesis ($H_0$) using ≠: This is used in two-tailed tests, indicating that the population parameter is different from a certain value, either greater or less. An example would be $H_0: \mu \neq \mu_0$.

In summary, the statement is accurate as each of these forms can represent a null hypothesis in a one-sample test context.