StatisticalMetrics and Experimentation

Given observational data from two disparate product campaigns, how would you mathematically structure a quasi-experiment or A/B test if we observe a 3% baseline increase for one product?

Also asked as "How would you turn a 3% observed difference between campaigns into a rigorous causal analysis?"

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Interview question asked to Data Scientists interviewing at Careem, Marqeta, Novartis and other companies. Original question asked: Given observational data from two disparate product campaigns, how would you mathematically structure a quasi-experiment or A/B test if we observe a 3% baseline increase for one product?.