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Edexcel A-Level Mathematics A2 S2.4.6 Hypothesis Tests for the Parameter P Questions

Practise binomial and Poisson hypothesis tests by forming hypotheses, finding critical regions, and judging significance from sample data.

Syllabus
First assessment 2019
Course
Mathematics YMA01
Level
A2

Exam points

  • test a binomial proportion p using B(n,p), tail probabilities and a stated conclusion
  • find two-tailed critical regions with rejection probabilities close to the target level
  • use a Poisson or Normal approximation test for rates, including continuity correction when needed

Edexcel A-Level Mathematics A2 S2.4.6 Hypothesis Tests for the Parameter P Questions question 1

[Maximum number: 5]

In a peat bog, Common Spotted-orchids occur at a mean rate of 4.5 per m2\mathrm{m}^{2}

Juan believes that by introducing a new management scheme the number of Common Spotted-orchids in the peat bog will increase. After three years under the new management scheme, a randomly selected 2 m^2 of the peat bog contains 11 Common Spotted-orchids.

Using a 5% significance level assess Juan's belief. State your hypotheses clearly.

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