Final answer:
The statement is false because the dependent variable changes as a result of changes in the independent variable, not the other way around.
Step-by-step explanation:
The statement "If A is the dependent variable and B is the independent variable, then a change in A results in a change in B" is False. Typically, in an experimental or data analysis context, the independent variable is the one that is manipulated or controlled, while the dependent variable is the one that responds to the change in the independent variable. We expect that the dependent variable will change as a function of the independent variable. For instance, in an experiment where a teacher uses different teaching methods (independent variable) to assess student performance (dependent variable), changes in teaching methods may lead to changes in student performance, not the other way around.