[subroutine]

I think Fisher's exact test [1] is most commonly used in these types of trials. But the P-value roland (parent comment) provided also make sense to me. For the Fisher's test R says...

                 Covid    NoCovid
                 _____    _______
    Vaccine        5       1495  
    NoVaccine     90       1410  

    9.0e-22  one tailed
    4.5e-22  two tailed

[1] https://en.wikipedia.org/wiki/Fisher%27s_exact_test

[flobosg]

Shouldn't the NoCovid values be 14995 and 14910?

[subroutine]

Ah yeah good catch (2.7e-21 for 2-tailed, mutatis mutandis)