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ATARMAxxing · SACE Mathematical Methods revision notes

Sample proportions and confidence intervals for a population proportion

Subtopic 6.2 Population proportions / Subtopic 6.3 Confidence intervals for a population proportion
Topic 6 · Topic 6: Sampling and confidence intervals

What this note covers

  1. The sample proportion is random
  2. Mean and standard deviation of p-hat
  3. When the normal approximation works
  4. From a point estimate to an interval
  5. A complete confidence-interval calculation
  6. Interpreting confidence with fixed p
  7. Conditions and limits of the approximation
  8. Comparing a claimed proportion with an interval

8 sections · 10 key terms & formulas · 6 common mistakes

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