Studying math in the morning or in the evening has no effect on a student's performance.

I know this claim might be a little unconventional. Most examples I have read in books and online are that something either increases or decreases. However, for the research I am currently doing, what's relevant it's to see if there's no change.

For what I have read, the null hypotheses should always have an equality and the alternative hypotheses an inequality. However, in this case, I want precisely the opposite.

So, let's consider M as the test scores of people studying in the morning, and E the tests scores of people studying in the evening.

H0:M¯¯¯¯¯≠E¯¯¯¯

H1:M¯¯¯¯¯=E¯¯¯¯This formalization is what I though should be correct, since H1 is my claim (what I am trying to demonstrate) and H0 is the complement of that. However, it goes against the hypothesis formulation definition.

I think, in the end, what I am asking is how can one formalize hypotheses for an experiment that is designed to show no correlation between two levels of a factor?