Use the experiment-designer Skill.

Design a controlled test of the proposed product-page change using our traffic and purchase baseline. Define the unit of randomization, seven-day purchase metric, guardrails, sample size, enrollment duration and analysis rule. Then analyze the supplied experiment dataset, including confidence intervals and costs, against the decision thresholds.

The attached business materials are:
- inputs/merchant.json
- inputs/operating-brief.json
- inputs/synthetic_outcome.json

Deliver a complete result.md report that the operations team can read, plus any finished files needed for this task. Keep supporting calculations and evidence with the deliverables. Write the report in English; use the requested target language for customer-facing copy. The business datasets are fictional examples unless the brief explicitly names a live public website.