If statistical evidence constrains the plausibility space of competing hypotheses, it performs a discriminating evidential function that is definitionally incompatible with having no evidential value.

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Competing hypotheses(other beliefs being compared to theism): Different possible explanations for the same thing. For instance, 'God created the universe' and 'the universe emerged from physics alone' are competing hypotheses.
Constrains(describing how rational identity affects choice): Limits or restricts; in this case, your rational identity sets boundaries on what choices are available to you.
Definitionally incompatible(as used in logic and philosophy): Impossible to exist together based on how the terms are actually defined; like how something cannot be both 'married' and 'single' at the same time.
Discriminating(as used in logic and philosophy of science): In this context, it means distinguishing between or separating one thing from another; evidence 'discriminates' when it favors one hypothesis over another.

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