This question evaluates product leadership, product analytics, experimentation, and impact-measurement competencies for a Data Scientist, emphasizing problem framing, metric definition, trade-off reasoning, risk mitigation, and the ability to quantify and communicate end-to-end results.

You are interviewing for a Data Scientist role with a strong focus on product analytics, experimentation, and impact. Prepare a concise, quantitative walkthrough of a product you led end-to-end.
Walk through the most impactful product you led end-to-end. Be specific and cover:
(a) Initial problem framing and target metrics, including baselines and explicit goals.
(b) The top alternatives you considered and why you rejected them.
(c) The riskiest assumption and how you de-risked it (data, prototypes, or experiments).
(d) The exact impact achieved (e.g., +3.2% 7-day retention, +$X/week revenue) with confidence intervals.
(e) How you handled a major setback (e.g., an experiment backfired) and what you changed.
(f) What changed in the organization as a result (processes, roadmap, staffing).
Finally, state what you would do differently if you had to ship it again with a 50% smaller team.
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