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CAIE A-Level Mathematics 6.5.1 Hypothesis-Test Foundations

Practise defining null and alternative hypotheses, choosing one or two tails and using significance levels, test statistics and rejection regions to reach contextual conclusions.

Syllabus
2028–2030
Course
Mathematics 9709
Level
A2

Exam points

  • write H₀ with equality and direct H₁ toward the claimed increase, decrease or difference
  • choose a rejection region whose null probability does not exceed the significance level
  • compare the observation with that region and conclude in terms of evidence for the claim

6.5.1—Hypothesis tests question 1

[Maximum number: 1]

At a certain large school it was found that the proportion of students not wearing correct uniform was 0.15 . The school sent a letter to parents asking them to ensure that their children wear the correct uniform. The school now wishes to test whether the proportion not wearing correct uniform has been reduced.

State suitable null and alternative hypotheses.

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