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ZIMSEC A-Level Statistics

6.8.1Significance testing

Significance testing in ZIMSEC A-Level Statistics: what the syllabus expects you to know, the learning objectives and how to practise.
Subtopic64 practice questions4 lessons

Overview

Form 5.

Learning objectives

What the syllabus expects you to be able to do.

  1. 6.8.1.1Form 5: formulate null and alternative hypotheses and carry out one-tailed and two-tailed tests at a stated significance level.
  2. 6.8.1.2Form 5: distinguish between Type I and Type II errors and compute their probabilities.
  3. 6.8.1.3Form 5: test a single observation from a binomial population using the binomial distribution or its normal approximation.
  4. 6.8.1.4Form 5: test a population mean using a sample from a normal distribution of known variance (z-test).

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.

Significance testing: 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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