Free IB Maths AI HL lesson: Full hypothesis test — H0/H1, p-value, conclusion
A ready-to-teach IB Maths AI HL lesson on Full hypothesis test — H0/H1, p-value, conclusion (Unit 4 · Statistics & Probability): editable slides and teacher notes, free; a printable worksheet in 3 levels with answers for school plans. About 55 minutes.
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What's inside
- Slides (PowerPoint, editable) · freeabout 12 slides: do now, objectives, key ideas, a worked example step by step, “your turn”, practice QR code, exit ticket
- Teacher notes (PDF) · freelesson plan with timings, common mistakes, homework links
- Worksheet (PDF) · school plans6 questions, 27 marks: Fluency, Reasoning, Exam-style. Included with school plans and the teacher trial.
- Answers (PDF) · school plansthe answer to every worksheet question, from its mark scheme. Included with school plans and the teacher trial.
Learning objectives
- Tests for a Population Mean (z and t)
- Tests for a Binomial Proportion & a Poisson Mean
- Testing Correlation (H₀: ρ = 0)
- Critical Regions & Type I and Type II Errors
- One-Tailed & Two-Tailed Tests for a Mean
- Testing for Correlation (ρ = 0)
Key vocabulary
- standard error: σ/(√n), the standard deviation of X̄.
- population correlation coefficient: ρ, estimated by the sample r.
- test statistic: The value calculated from the sample (x̄, z or r).
Common mistakes this lesson tackles
- Hypothesis tests: hypotheses in words, the wrong test, and conclusions that don't follow. Write H₀ and H₁ with symbols for population parameters (μ, ρ, p). Choose the test from the design (paired data → paired t; σ unknown → t). State the p-value, compare it with the stated significance level, then conclude in context. For goodness of fit: df = cells − 1 − parameters estimated.
- Using σ instead of σ/(√n).
- Writing hypotheses with r instead of ρ.
Lesson plan
| 0–5 min | Do now: students write down what they remember about Confidence intervals for a mean (GDC) and Poisson & normal approximations to binomial (extension) |
| 5–8 min | Share the learning objective and success criteria |
| 8–20 min | Teach: the worked example, step by step; students copy the method |
| 20–25 min | Your turn: 1 mini-whiteboard question; check every board before moving on |
| 25–42 min | Practise: the worksheet (6 questions in 3 levels, with school plans and the teacher trial) or the topic's practice questions online; move up a level after two right in a row |
| 42–47 min | Plenary: 1-question exit ticket; collect it to plan the next lesson |
For students: practise this topic
The worksheet's QR code opens the IB Maths AI HL Unit 4: Two-Sample t-Test practice questions.
What schools get
- Set this lesson as homework, marked by AI against the mark scheme, with every result in your markbook (school Pro plan).
- This lesson's worksheet in three levels, with its answers, ready to print.
- Support, Core and Stretch versions and A/B copies of the worksheet from the full question bank, in the worksheet builder.
- Create lesson: this lesson rebuilt for your class's next scheme-of-work lesson, from the full bank.
School licences from €490 a year. Try everything free for 30 days as a teacher: no card.
Questions teachers ask
Is this lesson free?
The slides and the teacher notes are free to download with a free IB Math Revision teacher account (sign in with Google, Microsoft or email); no card. The printable worksheet in three levels and its answers are included with school plans and the free 30-day teacher trial.
Can I edit the slides?
Yes. The slides are an ordinary PowerPoint file: change, add or delete anything. They also open in Google Slides and Keynote. The logo and web address sit on the slide master, so your edits do not move them.
What do students use for homework?
The practice slide's QR code and web address take students to the IB Maths AI HL Unit 4: Two-Sample t-Test practice questions on ibmathrevision.com, where the free questions are open and the full bank comes with a plan.