MathsYears 12–13Statistics

Hypothesis testing (one sample)

Conduct one-tailed and two-tailed hypothesis tests for proportions and means; interpret p-values

What you'll learn

  1. 1

    Imagine you have a bag of 100 sweets. Your friend says 40% are red. You pick 10 and only 2 are red. Is your friend right? That's hypothesis testing!

  2. 2

    What's the first thing we do in hypothesis testing?

  3. 3

    Let's test if a coin is fair (50% heads). You flip it 20 times and get 15 heads. Is that weird?

  4. 4

    Use the number line to see where 15 heads out of 20 falls. Is it in the 'weird' zone?

  5. 5

    In our coin example, the p-value was about 0.02. What does that mean?

  6. 6

    Now you test: a company says their new battery lasts 10 hours on average. You test 8 batteries and get a mean of 9.2 hours. Drag the sample mean onto the scale. Is it far from 10?

  7. 7

    If the p-value is 0.08 (8%) and we use a 5% significance level, what do we do?

Practise Hypothesis testing (one sample) with Whizlo

Free AI-tutored lessons, unlimited practice questions, and progress tracking for ages 16–18. Aligned to the UK National Curriculum.