Which of the following hypotheses is not a valid null hypothesis? Group of answer choicesμ < 0μ ≤ 0μ = 0μ ≥ 0

The null hypothesis in statistical tests always includes an equality. It is a statement of no effect or no difference. It is the hypothesis that the researcher is trying to disprove. Therefore, the null hypothesis should always be an equal statement, not a less than, greater than, or not equal to statement.

So, the valid null hypotheses from your options are:

μ = 0 μ ≤ 0 μ ≥ 0

The invalid null hypothesis from your options is:

μ < 0

This is because it does not include an equality, it is only stating that the population mean is less than zero, which is not a statement of no effect or no difference.