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Basic Statistics for Data Analysis / Module 8

Module 8 worksheet

Module 8 Worksheet: Hypothesis Testing and p-values

Scenario

You are helping a beginner analyst review a small synthetic dataset. Your job is not to sound impressive. Your job is to make the safest useful statement.

Data

Dataset: hypothesis-test-scenarios.csv

study_idquestionp_valueeffect_size_notepractical_importancecaution
HT01Did the new reminder increase worksheet completion?0.041Completion rose by 2 percentage pointslowStatistical significance may not be practically useful.
HT02Did Group A score higher than Group B?0.180Mean difference was 3 pointsunclearSample evidence is weak; do not claim a real difference.
HT03Did the new lesson layout reduce reading time?0.004Average time fell by 40 secondsmediumCheck whether faster reading harmed understanding.
HT04Did one of ten tested messages perform best?0.049Winner beat second place by 1 percentage pointlowMultiple testing makes the result fragile.
HT05Did practice quizzes improve final review scores?0.030Mean score rose by 8 pointsmediumCheck assignment process before using causal language.

Your Task

For each scenario, write the p-value meaning, the practical-size note, and one caution.

Questions

  1. What is the statistical question?
  2. What is the unit of analysis?
  3. Which variables matter most?
  4. What summary, comparison, or visual check is suitable?
  5. What does the evidence suggest?
  6. What should not be claimed?
  7. What limitation should be mentioned?

Write Your Conclusion

Write two to four careful sentences. Use plain English. Do not use words like proves, guarantees, or always unless the evidence truly supports them.

Self-Check

  • Did I name the question?
  • Did I use the right denominator or comparison?
  • Did I avoid claiming more than the data can support?
  • Did I mention uncertainty, bias, assumptions, or limits where needed?