Applications & Interpretation HL · Topic 4 · Statistics & Probability

IB Math AI HL Chi-Squared Hypothesis Testing Worksheet (with full solutions)

Tests for independence and goodness of fit, including the HL expectations around expected frequencies and degrees of freedom.

27 pages · 120 marks · with full solutions · free PDF for IB Mathematics: Applications and Interpretation HL students.

27pages
120marks
3difficulty levels
Yessolutions included
T4Statistics & Probability

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What this AI HL chi-squared hypothesis testing worksheet covers

Tests for independence and goodness of fit, including the HL expectations around expected frequencies and degrees of freedom. The questions follow the order of the AI HL syllabus for Topic 4 (Statistics & Probability) and are graded in three bands — routine practice, exam-standard, and the harder multi-step questions that separate a 6 from a 7.

Setting up contingency tables and null/alternative hypotheses
Expected frequencies and the ≥ 5 condition (combining categories)
Degrees of freedom for independence and goodness-of-fit tests
Interpreting p-values and critical values in context
Exam tip for this topic. State the conclusion in the words of the question ("there is insufficient evidence that … are dependent"), not just "reject H₀".

Preview

How to use it

  1. Do the first band without the AI HL formula booklet, then check which formulas you had to look up — those are the ones to memorise.
  2. Time the second band at roughly 1.2 minutes per mark, the pace of Paper 1 and Paper 2.
  3. Mark the third band against the solutions and rewrite every question you lost marks on from a blank page.

More AI HL worksheets on Statistics & Probability

✓ = solutions included

Questions

Is this AI HL chi-squared hypothesis testing worksheet free?

Yes — download the PDF with no sign-up. It is one of over 130 free IB Math worksheets on this site, written to match the current syllabus.

Does it come with answers?

Yes, full worked solutions are included at the end of the PDF.

Which IB course is it for?

IB Mathematics: Applications and Interpretation HL. The same topic is also available for the other courses where it is on the syllabus — see the links above.

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