Of course it's almost as much evidence as you'd expect for a phenomena that doesn't actually exist.
It exists, at least subjectively. Weird, inexplicable stuff happens to loads of people. Given the preponderance of anecdotal evidence throughout human history, it's just silly to think otherwise. What has yet to be conclusively, empirically established by researchers are the mechanisms that cause these experiences to occur.
You bring up another issue too. If we're talking about phenomena for which the actual mechanism isn't known, we're not necessarily talking about psychics because that implies a specific mechanism.
That's just not true. What "specific mechanism" are you talking about?
All we're really talking about is evidence of people somehow being able to predict things. Scientific evidence of psychics wouldn't only have to demonstrate the effects but also (at least something about) the cause.
I agree, but the observation of statistically significant
effects should provide scientists with the impetus to search for a cause, rather than simply make untested and unempirical claims of fraud, cognitive bias, pure coincidence, delusion, etc.
This is a good example of what I've just said. We've all had the "I knew it was you!" feeling answering the phone but that could be down to perfectly mundane subconscious knowledge. Only a certain subset of people are going to phone you and there will be times or circumstances where they're more or less likely to call.
Perhaps it could, if it hadn't been tested in a lab and reasonable attempts made to control for such explanations. If I can find the studies I'm referring to again, I'll post a link, but at the moment I can't be bothered to look. People are too heavily invested in their opinions on this topic for me to think anything can be gained by providing evidence one way or the other. Also you have to wade through so much crap the minute you type anything to do with psychic phenomena into the browser, I find it depressing.
It could be a result of some kind of psychic energy moving through the ether but in the absence of any evidence (even any consistent hypothesis for that matter) suggesting that is even possible, there is no logical reason to suspect this is the case.
To put it bluntly, tough! Lots of fields of study suffer all sorts of different problems and restrictions. That's no reason to treat them differently on the principals of burden of proof and evidence.
And yet this field is treated differently than all the others - statistically significant deviations from pure random chance aren't enough to gain acceptance as evidence of a phenomena, whereas in any other field of research they would be.