Of course, the answer depends on how you determine which is more rational.
The main issue I have is treating the claims as the same sort of thing, when a positive claim and a negative claim are actually pretty different. With a positive claim about the existence of something you can positively establish your claim with a single piece of evidence. A negative claim - no matter how much evidence you have - cannot be specifically proven.
I am an Atheist (capital A), in that I am concinced that gods in any form do not exist, and this position is based primarily on the two part abductive argument that:
1.) The claims of Gods existence are thousands of years old, and if such a being existed one would have expected to have some sort of evidence by now. The belief in God existed before concrete, steel (I think), steam power, electricity, the transistor, the computer, space travel and the internet: despite us formulating explanations of the atom and the expanding universe as a whole - and despite the microscope, the telescope, and detectors sensitive enough to detect neutrinos, the amount of actual objective evidence to support Gods existence is still zero.
2.) Current claims about Gods existence come off the back of those same thousands of years of failed predictions - rather than some new explanation. When you talk about God, you’re not talking about a new hypothesis, or a new explanation for some aspect of the Cosmos. You are talking about a variation of the same God that people have touted for thousands of years, and whose any specific predictions and specific claims have invariably been been proven wrong.
To not consider these failures, or to expect that current claims of God be treated on their own “merit”, rather than considering the history of failure is inherently irrational in my view - and the primary basis on which most (A)theists base their conclusion.
Or to create an example.
Suppose Jimmy tells you that a cat got into the living room. You go in and there is no cat. You shrug, it’s possible - you have no reason to disbelieve it.
He comes to you again - saying the cat is on the sofa. It isn’t. Jimmy says that the cat must have run away. This goes on and on - you set up cameras, motion sensors, sound detectors - and never see anything. Let’s say this goes on for months - every day Jimmy comes and tells you that there is a cat. There is never a cat to be seen.
(A)theists conclude that there’s probably no cat, there was probably never any cat, and any claims from Jimmy about there being a cat are likely fictitious.
Theists, on the other hand, tell (A)theists that they are being irrational for concluding that there is probably no cat.