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Cambridge AS & A Level Mathematics

6.5Hypothesis tests

Hypothesis tests in Cambridge AS & A Level Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Topic72 practice questions4 lessons

Learning objectives

What the syllabus expects you to be able to do.

  1. 6.5.1Understand the nature of a hypothesis test, one- and two-tailed tests and the associated terms.
  2. 6.5.2Test a single observation from a binomial or Poisson distribution, directly or by a normal approximation.
  3. 6.5.3Test a population mean (normal with known variance, or large sample).
  4. 6.5.4Understand Type I and Type II errors and calculate their probabilities in specific situations.

Lessons

  • Hypothesis tests for a binomial proportion and a Poisson mean

    50 min

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  • Hypothesis tests for a population mean (z-tests)

    45 min

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  • The language of hypothesis testing

    45 min

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  • Type I and Type II errors

    45 min

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Sample question

A sample question on this topic. Answer it, check it, then read the worked answer.

Hypothesis tests: sample question

1 mark

A manufacturer claims that 10% of its light bulbs are faulty. A retailer believes the proportion is lower. Which tail of the binomial distribution contains the critical region?

Choose one answer

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