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Test Billboard Campaign Conversion Rate Exceeds 60%

TikTokData Scientist · Onsite
EasyData ScientistOnsiteStatistics & Math

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Evaluates one-sample proportion testing for a billboard conversion rate with 65 conversions out of 100 users. Strong answers state one-sided hypotheses, compute the standard error and confidence interval, run the correct z test against 60%, and interpret why statistical evidence may be insufficient.

Scenario

Statistical evaluation of billboard campaign: sample shows 65 % conversion on N=100 users; test if true rate exceeds 60 %.

Question

State the null and alternative hypotheses for this one-sided test. Compute the standard error, 95 % margin of error, and confidence interval. Based on the interval, decide whether to reject H0 at α=0.05 and interpret the result.

Hints

Use SE = sqrt(p(1-p)/N); margin = 1.96*SE; compare lower bound with 0.60.