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Statistics & Probability Flashcards: Comparing Treatments Using Randomized Experiments

Study Comparing Treatments Using Randomized Experiments in Statistics & Probability with focused flashcards that help you recognize the idea, recall the key rule, and apply it in practice-style prompts.

QUESTION

What is a Type I error in the context of comparing two treatments with H0H_0 true?

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ANSWER

Rejecting H0H_0 and claiming a treatment effect when none exists. False positive: concluding effect when there's none.

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Statistics & Probability: Inferences & Conclusions

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This deck focuses on Comparing Treatments Using Randomized Experiments, giving you a quick way to review the definitions, rules, and examples that matter most for Statistics & Probability.

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Practice questions

1 of 46Practice questions for this set
A library tested two reminder methods for returning books on time. They randomly assigned 50 patrons to Treatment A (text reminder) and 50 patrons to Treatment B (email reminder). The outcome was whether the book was returned on time. Treatment A had 41 on-time returns (0.820.82) and Treatment B had 33 on-time returns (0.660.66). The observed difference in proportions was 0.82−0.66=0.160.82-0.66=0.16 (A − B). A randomization test was performed by shuffling the on-time/late outcomes among all 100 patrons 4000 times under "no treatment effect." In the 4000 shuffles, 12 produced a difference in proportions of at least +0.16+0.16 (A − B). Which conclusion is most reasonable about the treatment effect (A − B)?
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