Lesson 2.05a

2.05a Language of hypothesis testing Quiz: OCR Maths, Unit 15

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

In partnership with Revision Ninja

Lesson 2.05a, Language of hypothesis testing: 20 multiple choice questions for the OCR Maths (H240), Unit 15: Statistical Hypothesis Testing, written with Revision Ninja.

Host it live on the board and students join with a game code on their own devices, or revise alone with Free Play. The answers are revealed in the game.

Host this setFree Play

The 20 questions

  1. What does the null hypothesis H0 state in a statistical test?

    • Sample mean equals zero
    • Alternative outcome
    • Significant difference
    • No effect or change

  2. What does the alternative hypothesis H1 represent in a statistical test?

    • Default value
    • No change
    • Population variance
    • Parameter change or effect

  3. What does the significance level of a hypothesis test represent?

    • P(reject H0 | H0 true)
    • P(H0 is true)
    • P(H1 is true)
    • P(accept H0 | H0 false)

  4. What does the p-value represent in a statistical hypothesis test?

    • P(H0 is true)
    • P(H1 is true)
    • P(observed result | H0 true)
    • Fixed significance threshold

  5. A hypothesis test has H1: p != 0.4. What type of test is this?

    • One-tailed test
    • Two-tailed test
    • Upper-tail test
    • Lower-tail test

  6. What is the critical region in a statistical hypothesis test?

    • Significance level
    • Test statistic value
    • Values leading to rejection
    • Acceptance region

  7. What is a test statistic in a statistical hypothesis test?

    • Pre-set significance level
    • Hypothesised parameter value
    • Critical region boundary
    • Sample-derived decision value

  8. A test has H0: p = 0.7 and H1: p < 0.7. Where is the critical region?

    • Acceptance region
    • Lower tail
    • Upper tail
    • Both tails

  9. Which alternative hypothesis, H1, tests if a population mean mass, mu, has decreased from 500 g?

    • mu = 500
    • mu != 500
    • mu < 500
    • mu > 500

  10. What quality does a statistical test conclusion express by using phrases like 'suggests evidence'?

    • Mathematical certainty
    • Uncertainty
    • Deterministic truth
    • Absolute proof

  11. When sample evidence is not significant at the chosen level, what action is taken regarding H0?

    • Accept H0
    • Prove H0
    • Reject H0
    • Do not reject H0

  12. A hypothesis test at the 5% significance level yields a p-value of 0.03. What decision is made?

    • Inconclusive
    • Reject H0
    • Do not reject H0
    • Accept H0

  13. In a two-tailed test at the 5% significance level, what probability is in each tail?

    • 2.5%
    • 1%
    • 5%
    • 10%

  14. A test at the 10% significance level gives a p-value of 0.08. What decision is made?

    • Accept H0
    • Do not reject H0
    • Invalid test
    • Reject H0

  15. Why does failing to reject H0 not mean that H0 is true?

    • Data is false
    • H0 is disproven
    • Insufficient sample evidence
    • Proof of H1

  16. Besides referencing the context, what must a formal test conclusion explicitly state?

    • Sample variance
    • Population size
    • Critical value formula
    • Significance level

  17. What is the set of test statistic values for which H0 is not rejected called?

    • Critical region
    • Acceptance region
    • Rejection region
    • Significance level

  18. How is the 5% significance level allocated in a one-tailed test?

    • 10% in one tail
    • 5% in both tails
    • 2.5% in each tail
    • 5% in one tail

  19. A two-tailed test at the 5% level produces a p-value of 0.024. What is the outcome?

    • Change significance level
    • Reject H0
    • Accept H0
    • Do not reject H0

  20. If H0 is true, what is the maximum probability of incorrectly rejecting it at a 5% level?

    • 2.5%
    • 95%
    • 5%
    • 0%

All OCR Maths quizzes