Ah, I see. I missed that part of the post for some reason.
In this setup the update you’re doing is fine, but I think measuring the evidence for the hypothesis in terms of “bits” can still mislead people here. You’ve tuned your example so that the likelihood ratio is equal to two and there are only two possible outcomes, while in general there’s no reason for those two values to be equal.
Ah, I see. I missed that part of the post for some reason.
In this setup the update you’re doing is fine, but I think measuring the evidence for the hypothesis in terms of “bits” can still mislead people here. You’ve tuned your example so that the likelihood ratio is equal to two and there are only two possible outcomes, while in general there’s no reason for those two values to be equal.