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Evaluate Marketing Campaign's Click-Through Rate Effectiveness

MetaData Scientist · Onsite

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This interview question evaluates statistical assumptions, formulas, estimation strategy, uncertainty, edge cases, and interpretation in a realistic interview setting. A strong answer for Evaluate Marketing Campaign's Click-Through Rate Effectiveness states assumptions, handles edge cases, explains trade-offs, and shows how to validate the result clearly.

Scenario

You are told the current click-through rate (CTR) of a marketing campaign is 4.2%. Leadership asks whether this is good or bad.

Question

Formally state the null and alternative hypotheses to evaluate if 4.2% CTR meets expectations. Which statistical test would you choose and why? What additional data (e.g., historical CTR, industry benchmarks, sample size) do you need? Compute the p-value and confidence interval, and interpret both statistical and practical significance.

Hints

Model CTR as Binomial; use z-test or Wilson CI; discuss power, effect size, Type I/II errors.