I'm researching the role of sender reputation in remediating Android vulnerabilities using large-scale notification campaign. There are 2 senders with different reputations and 1 as a control (no notification sent). I am measuring the effect of these notifications by the senders and finding out how many vulnerabilities were fixed when they were notified. I'm having a problem in the study design as I can't seem to figure out the sample size needed for a meaningful analysis. This is the contingency table so far.
Fixed Not fixed Total Sender1 21 Sender2 21 Control 22 Total 64
I know I have to do it pairwise and then use Multitest corrections (I'll be using Holm-Bonferrroni for this), but the question is whether the analysis will be meaningful or not? For that I have to calculate sample size needed. How to do that?
(The question might be very basic but I don't have a background in stats so pls help)