MathsYears 12–13Statistics

Hypothesis testing (normal distribution)

Conduct hypothesis tests using the normal distribution; correlation hypothesis tests

What you'll learn

  1. 1

    Imagine you're testing whether a coin is fair. If it's fair, it should land heads half the time. If it lands heads 9 times out of 10, that's suspicious!

  2. 2

    What does it mean if a coin is 'fair'?

  3. 3

    Here's the normal distribution curve for a fair coin. Most results cluster around the middle — getting 5 heads out of 10. The tails show results that are very unlikely.

  4. 4

    Let's test: A coin lands heads 8 times out of 10. Is it fair?

  5. 5

    Drag the slider to change the number of heads out of 10. Watch the p-value change — the more extreme the result, the smaller the p-value.

  6. 6

    If the p-value is 0.01, should we reject the idea that the coin is fair?

  7. 7

    What does a p-value of 0.03 mean?

Practise Hypothesis testing (normal distribution) with Whizlo

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