I have data regarding the performances of shops on a certain time period: in this data some shops had an active marketing promotion, and some didn't. I would like to understand whether the shops with the promotion improved their performances more than the other group. I have formulated the problem in the following terms: how many shops improved their performances (wrt the previous time period) among the two groups? In this case, my results are | Group | Total # Shops | # Shops with improved performances | |------------ |--------------- |------------------------------------ | | No Promo | 37907 | 23762 | | With Promo | 1007 | 801 | Running a significance test, data suggests that the difference is significant (p-value < 0.05), so I would have concluded that shops with active promo are more likely to improve their performances. I would like now to estimate how much the improvement is, so if there's a difference in the mean growth between the two groups. In this case, data are: | Group | Total # Shops | Mean Growth % | |------------ |--------------- |--------------- | | No Promo | 37907 | 45% | | With Promo | 1007 | 83% | At this point, do I have to run a test on the difference in growth mean to understand if they are significant? If so, which kind of test should be used?