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Statistics Flashcards: Comparing Treatments Using Randomized Experiments

Study Comparing Treatments Using Randomized Experiments in Statistics 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: 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.

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Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

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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