In a one-way ANOVA, if the null hypothesis that all population means are equal is rejected, then we can conclude that the alternative hypothesis is true and that all population means differ.

Null Hypothesis

In statistical analysis, a hypothesis that suggests no significant difference exists between specified populations, any observed difference being due to sampling or experimental error.

Population Means

The average value of all data points within a population, a key parameter in many statistical analyses.

Alternative Hypothesis

A hypothesis that suggests there is a difference, effect, or relationship for the general population; it contrasts with the null hypothesis.