Can a relative risk and odds ratio differ in p-value?


New Member
With increasing incidence of the outcome, odds ratios tend to overestimate relative risks. I was wondering whether they also start to differ in p-values. So my question is: could there be a situation where the (unadjusted) odds-ratio reaches statistical significance, but the (unadjusted) relative risk does not?

Thank you in advance for any help.