You are an analyst evaluating user comments and model performance on a social-media platform.

If the probability that a single user comment is positive is p, what is the probability that two independent comments are both positive? Assuming each response is i.i.d., if the first three responses from a user are positive, what is the probability that the fourth response is also positive? Model A returns a positive response in 80 % of cases while Model B returns a positive response in 90 % of cases. At the 5 % significance level, can you conclude Model B is better? Detail the statistical test, null/alternative hypotheses, test statistic and decision rule.

Use the multiplication rule for independent events and a two-proportion z-test with a pooled estimate of p.

Meta Data Scientist interview question: Evaluate Probability of Positive User Comments and Model Performance. {"blocks": [{"key": "a66771f2", "text": "Scenario", "type": "header-two", "depth": 0, "inlineStyleRanges": [], "entityRanges": [], "data": {...