Step 1: Recall Mayo's definition of a severe test.
The passage states Mayo's central idea directly: a claim is only borne out by experiment if it has passed a severe test, one it would be unlikely to pass if it were false. In the Snell's law example, several older laws survived a rough test alongside the true law; only a test severe enough to fail the false laws while the true law still passes would count as validating the true law.
Step 2: Work out what this means for a 'scientific explanation'.
Under Mayo's view, a scientific explanation is not defined by how detailed it is, nor by how many people tested it, nor even by simply surviving one round of testing. What matters is whether the test was strong enough that it would have ruled out, or refuted, every plausible rival explanation had that rival been the true one. A good scientific explanation is one that stands after every likely alternative has been checked and knocked out.
Step 3: Rule out the other options.
Option 1, most detailed, is not Mayo's criterion at all, being detailed says nothing about whether rival explanations were tested and eliminated.
Option 2, thoroughly tested by experts, sounds close, but Mayo's criterion is not just about who tests it or how much testing happens, it is specifically about whether the test could have caught the claim being false. A great deal of testing under loose conditions, like the rough Snell's law experiment, still fails Mayo's bar.
Option 3, survives examinations better than other explanations, is closer still, but surviving better than rivals is not the same as actively ruling those rivals out through a severe test; a weak test can let several rivals survive equally well, as the Snell's law example shows.
Option 4, refutes other explanations convincingly, captures Mayo's actual bar: a scientific explanation earns its status by passing tests that would have convincingly disproved it, and by extension the rival explanations, had it been false. This lines up with the passage's description of a severe test.
Step 4: Final Answer.
Since Mayo's criterion is about a test strong enough to rule out rival explanations, not just detail, expert involvement, or comparative survival, the correct answer is option 4.
\[ \boxed{\text{Option 4}} \]