# 9709 P6 Hypothesis tests Topic Questions > CIE IAL 9709 P6: every Hypothesis tests topic question from 49 papers (2020–2026), grouped by syllabus point. 206 questions, 661 marks, with direct links… - Canonical HTML: https://www.examsci.com/topics/cie-ial/mathematics/9709-p6/hypothesis-tests/ - Markdown mirror: https://www.examsci.com/topics/cie-ial/mathematics/9709-p6/hypothesis-tests/index.md --- CIE IAL · Mathematics · 9709 P6 · A Level Every 9709 P6 Hypothesis tests topic question from the 2020–2027 syllabus, drawn from 49 papers (2020–2026) and grouped by syllabus point. Each row opens a page listing the exact question numbers, marks and a direct link into the paper. These are questions by topic, not full papers, so you can revise one topic at a time. - 9709 P6 - 5 subtopics - 206 topic questions - 49 papers - 661 tagged marks - [Back to Hypothesis tests](https://www.examsci.com/topics/cie-ial/mathematics/9709-p6/hypothesis-tests/) - [All paper codes](https://www.examsci.com/topics/) Core finding **understand the terms Type I error and Type II error in relation to… is the most frequently assessed subtopic in Hypothesis tests, with 54 topic questions and 132 marks across 37 papers.** formulate hypotheses and carry out a hypothesis test… follows with 46 topic questions and 202 marks. The topic contains 5 subtopics, 206 topic questions and 661 marks in total. Rows count only the parts tagged to that subtopic, keep the same colour in both charts and repeat paper count, tagged marks and year range in the native table. ## Topic question count and mark distribution Subtopics are on the vertical axis and sorted from highest to lowest. Only the parts whose knowledge graph matches a subtopic are counted for it, and percentages are each row's share of the tagged total in that chart. A part tagged to several subtopics is counted in each bar, so the bars are not a partition of the topic total. ### Questions by subtopic question items - [• understand the terms Type I error and Type II error in relation to hypothesis tests](https://www.examsci.com/topics/cie-ial/mathematics/9709-p6/hypothesis-tests/understand-the-terms-type-i-error-and-type-ii-error-in-relation-to-hypothesis-tests/) (37 papers) — 54 · 24.5% - [• formulate hypotheses and carry out a hypothesis test concerning the population mean in cases where the population is normally distributed with known variance or where a large sample is used](https://www.examsci.com/topics/cie-ial/mathematics/9709-p6/hypothesis-tests/formulate-hypotheses-and-carry-out-a-hypothesis-test-concerning-the-population-mean/) (38 papers) — 46 · 20.9% - [• calculate the probabilities of making Type I and Type II errors in specific situations involving tests based on a normal distribution or direct evaluation of binomial or Poisson probabilities](https://www.examsci.com/topics/cie-ial/mathematics/9709-p6/hypothesis-tests/calculate-the-probabilities-of-making-type-i-and-type-ii-errors-in-specific/) (34 papers) — 45 · 20.5% - [• understand the nature of a hypothesis test, the difference between one-tailed and two-tailed tests, and the terms null hypothesis, alternative hypothesis, significance level, rejection region (or critical region), acceptance region and test statistic](https://www.examsci.com/topics/cie-ial/mathematics/9709-p6/hypothesis-tests/understand-the-nature-of-a-hypothesis-test-the-difference-between-one-tailed-and-two/) (28 papers) — 38 · 17.3% - [• formulate hypotheses and carry out a hypothesis test in the context of a single observation from a population which has a binomial or Poisson distribution, using – direct evaluation of probabilities – a normal approximation to the binomial or the Poisson distribution, where appropriate](https://www.examsci.com/topics/cie-ial/mathematics/9709-p6/hypothesis-tests/formulate-hypotheses-and-carry-out-a-hypothesis-test-in-the-context-of-a-single/) (30 papers) — 37 · 16.8% ### Marks by subtopic marks - [• formulate hypotheses and carry out a hypothesis test concerning the population mean in cases where the population is normally distributed with known variance or where a large sample is used](https://www.examsci.com/topics/cie-ial/mathematics/9709-p6/hypothesis-tests/formulate-hypotheses-and-carry-out-a-hypothesis-test-concerning-the-population-mean/) (38 papers) — 202 · 27.6% - [• formulate hypotheses and carry out a hypothesis test in the context of a single observation from a population which has a binomial or Poisson distribution, using – direct evaluation of probabilities – a normal approximation to the binomial or the Poisson distribution, where appropriate](https://www.examsci.com/topics/cie-ial/mathematics/9709-p6/hypothesis-tests/formulate-hypotheses-and-carry-out-a-hypothesis-test-in-the-context-of-a-single/) (30 papers) — 143 · 19.5% - [• calculate the probabilities of making Type I and Type II errors in specific situations involving tests based on a normal distribution or direct evaluation of binomial or Poisson probabilities](https://www.examsci.com/topics/cie-ial/mathematics/9709-p6/hypothesis-tests/calculate-the-probabilities-of-making-type-i-and-type-ii-errors-in-specific/) (34 papers) — 142 · 19.4% - [• understand the terms Type I error and Type II error in relation to hypothesis tests](https://www.examsci.com/topics/cie-ial/mathematics/9709-p6/hypothesis-tests/understand-the-terms-type-i-error-and-type-ii-error-in-relation-to-hypothesis-tests/) (37 papers) — 132 · 18.0% - [• understand the nature of a hypothesis test, the difference between one-tailed and two-tailed tests, and the terms null hypothesis, alternative hypothesis, significance level, rejection region (or critical region), acceptance region and test statistic](https://www.examsci.com/topics/cie-ial/mathematics/9709-p6/hypothesis-tests/understand-the-nature-of-a-hypothesis-test-the-difference-between-one-tailed-and-two/) (28 papers) — 113 · 15.4% ## Subtopic comparison matrix Curriculum order is by syllabus number, then alphabetically. Every row links to the matching past-paper question list. | Subtopic | Topic questions | Papers | Marks | Years | | | --- | --- | --- | --- | --- | --- | | **[• calculate the probabilities of making Type I and Type II errors in specific situations involving tests based on a normal distribution or direct evaluation of binomial or Poisson probabilities](https://www.examsci.com/topics/cie-ial/mathematics/9709-p6/hypothesis-tests/calculate-the-probabilities-of-making-type-i-and-type-ii-errors-in-specific/)** | 45 | 34 | 142 | 2020–2026 | [Open topic questions](https://www.examsci.com/topics/cie-ial/mathematics/9709-p6/hypothesis-tests/calculate-the-probabilities-of-making-type-i-and-type-ii-errors-in-specific/) | | **[• formulate hypotheses and carry out a hypothesis test concerning the population mean in cases where the population is normally distributed with known variance or where a large sample is used](https://www.examsci.com/topics/cie-ial/mathematics/9709-p6/hypothesis-tests/formulate-hypotheses-and-carry-out-a-hypothesis-test-concerning-the-population-mean/)** | 46 | 38 | 202 | 2020–2026 | [Open topic questions](https://www.examsci.com/topics/cie-ial/mathematics/9709-p6/hypothesis-tests/formulate-hypotheses-and-carry-out-a-hypothesis-test-concerning-the-population-mean/) | | **[• formulate hypotheses and carry out a hypothesis test in the context of a single observation from a population which has a binomial or Poisson distribution, using – direct evaluation of probabilities – a normal approximation to the binomial or the Poisson distribution, where appropriate](https://www.examsci.com/topics/cie-ial/mathematics/9709-p6/hypothesis-tests/formulate-hypotheses-and-carry-out-a-hypothesis-test-in-the-context-of-a-single/)** | 37 | 30 | 143 | 2020–2026 | [Open topic questions](https://www.examsci.com/topics/cie-ial/mathematics/9709-p6/hypothesis-tests/formulate-hypotheses-and-carry-out-a-hypothesis-test-in-the-context-of-a-single/) | | **[• understand the nature of a hypothesis test, the difference between one-tailed and two-tailed tests, and the terms null hypothesis, alternative hypothesis, significance level, rejection region (or critical region), acceptance region and test statistic](https://www.examsci.com/topics/cie-ial/mathematics/9709-p6/hypothesis-tests/understand-the-nature-of-a-hypothesis-test-the-difference-between-one-tailed-and-two/)** | 38 | 28 | 113 | 2020–2026 | [Open topic questions](https://www.examsci.com/topics/cie-ial/mathematics/9709-p6/hypothesis-tests/understand-the-nature-of-a-hypothesis-test-the-difference-between-one-tailed-and-two/) | | **[• understand the terms Type I error and Type II error in relation to hypothesis tests](https://www.examsci.com/topics/cie-ial/mathematics/9709-p6/hypothesis-tests/understand-the-terms-type-i-error-and-type-ii-error-in-relation-to-hypothesis-tests/)** | 54 | 37 | 132 | 2020–2026 | [Open topic questions](https://www.examsci.com/topics/cie-ial/mathematics/9709-p6/hypothesis-tests/understand-the-terms-type-i-error-and-type-ii-error-in-relation-to-hypothesis-tests/) | ## Browse every topic question - [• calculate the probabilities of making Type I and Type II errors in specific situations involving tests based on a normal distribution or direct evaluation of binomial or Poisson probabilities](https://www.examsci.com/topics/cie-ial/mathematics/9709-p6/hypothesis-tests/calculate-the-probabilities-of-making-type-i-and-type-ii-errors-in-specific/) — 45 question items · 34 papers — 142 marks · 2020–2026 - [• formulate hypotheses and carry out a hypothesis test concerning the population mean in cases where the population is normally distributed with known variance or where a large sample is used](https://www.examsci.com/topics/cie-ial/mathematics/9709-p6/hypothesis-tests/formulate-hypotheses-and-carry-out-a-hypothesis-test-concerning-the-population-mean/) — 46 question items · 38 papers — 202 marks · 2020–2026 - [• formulate hypotheses and carry out a hypothesis test in the context of a single observation from a population which has a binomial or Poisson distribution, using – direct evaluation of probabilities – a normal approximation to the binomial or the Poisson distribution, where appropriate](https://www.examsci.com/topics/cie-ial/mathematics/9709-p6/hypothesis-tests/formulate-hypotheses-and-carry-out-a-hypothesis-test-in-the-context-of-a-single/) — 37 question items · 30 papers — 143 marks · 2020–2026 - [• understand the nature of a hypothesis test, the difference between one-tailed and two-tailed tests, and the terms null hypothesis, alternative hypothesis, significance level, rejection region (or critical region), acceptance region and test statistic](https://www.examsci.com/topics/cie-ial/mathematics/9709-p6/hypothesis-tests/understand-the-nature-of-a-hypothesis-test-the-difference-between-one-tailed-and-two/) — 38 question items · 28 papers — 113 marks · 2020–2026 - [• understand the terms Type I error and Type II error in relation to hypothesis tests](https://www.examsci.com/topics/cie-ial/mathematics/9709-p6/hypothesis-tests/understand-the-terms-type-i-error-and-type-ii-error-in-relation-to-hypothesis-tests/) — 54 question items · 37 papers — 132 marks · 2020–2026 ## Other topics in 9709 P6 - [Continuous random variables 146 question items](https://www.examsci.com/topics/cie-ial/mathematics/9709-p6/continuous-random-variables/) - [Linear combinations of random variables 109 question items](https://www.examsci.com/topics/cie-ial/mathematics/9709-p6/linear-combinations-of-random-variables/) - [Sampling and estimation 187 question items](https://www.examsci.com/topics/cie-ial/mathematics/9709-p6/sampling-and-estimation/) - [The Poisson distribution 207 question items](https://www.examsci.com/topics/cie-ial/mathematics/9709-p6/the-poisson-distribution/) ## Topic question rules and edge cases **How many subtopics does Hypothesis tests contain?** This page lists 5 subtopics tagged to the current syllabus. They are ordered by syllabus number, then alphabetically, and each row opens a page of matching past-paper questions. **How are the subtopic question and mark totals calculated?** A multiple-choice question contributes one item and its marks to every subtopic it is tagged with. A structured question contributes one item per tagged part, and that part’s marks; untagged parts of the same question are not counted here. A part tagged to several subtopics therefore appears under each of them. **Why do some subtopics have no numbered prefix?** Practical-skills statements and some syllabus bullets are unnumbered. Numbered statements come first; unnumbered statements and ties are sorted alphabetically. **Is the LaTeX rendered without JavaScript?** Yes. Subtopics that contain formulas are converted to static KaTeX HTML during the build, and the KaTeX stylesheet is served from the same site. --- Full page with native tables, bar charts and Practice Hub links: https://www.examsci.com/topics/cie-ial/mathematics/9709-p6/hypothesis-tests/