I would appreciate some help regarding the relationship between the p value and some other elements in my question below. Any help would be appreciated! I've spent about 4 hours researching this, and am still stumped....

How would you calculate the relative size of a p value given the following elements:

p = 0.55 for a 2X2 table

n = 40

odds ratio = X (not given)

**If we did the study again with a sample of n = 120 and obtained the same odds ratio, what'd be the relative size of the p value for this new sample?**

I am assuming that it'd be smaller, because the more samples = smaller standard error.

**But how is the p value directly related to the standard error? And how is it that the same odds ratio is found in both samples?**

I honestly don't even know what "relative size" means other than to say smaller or bigger than. I've tried looking on the net, and there is a similar unanswered question on this forum, but different.

I'm really stumped, and don't know if this needs algebra or some math expression to calculate.

I'd appreciate anything Many thanks