Lesson 2.05g

2.05g Interpreting Pearson's product-moment correlation Quiz: OCR Maths, Unit 15

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson 2.05g, Interpreting Pearson's product-moment correlation: 20 multiple choice questions for the OCR Maths (H240), Unit 15: Statistical Hypothesis Testing, written with Revision Ninja.

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The 20 questions

  1. What underlying population distribution is assumed when conducting a PMCC hypothesis test?

    • Uniform
    • Bivariate normal
    • Poisson
    • Binomial

  2. Which symbol represents the population correlation coefficient in a hypothesis test?

    • ρ
    • σ
    • r
    • μ

  3. Which symbol represents the sample Pearson product-moment correlation coefficient?

    • ρ
    • s
    • p
    • r

  4. What is always the null hypothesis when testing for linear correlation?

    • ρ = 0
    • ρ > 0
    • ρ ≠ 0
    • ρ < 0

  5. What is the alternative hypothesis for a one-tailed test for positive correlation?

    • ρ > 0
    • ρ < 0
    • ρ ≠ 0
    • ρ = 0

  6. What is the alternative hypothesis for a one-tailed test for negative correlation?

    • ρ > 0
    • ρ ≠ 0
    • ρ = 0
    • ρ < 0

  7. What is the alternative hypothesis for a two-tailed test for correlation?

    • ρ > 0
    • ρ = 0
    • ρ ≠ 0
    • ρ < 0

  8. When testing H0: ρ = 0 against H1: ρ > 0, when is H0 rejected using critical value c?

    • r > c
    • r < c
    • r = 0
    • r = c

  9. For a 5% two-tailed PMCC test, what significance level is tested in each tail?

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

  10. What decision is made if the calculated p-value is less than the significance level?

    • Inconclusive test
    • Reject H1
    • Do not reject H0
    • Reject H0

  11. What decision is made if the sample correlation coefficient lies outside the critical region?

    • Reject H0
    • Accept H1
    • Change significance level
    • Do not reject H0

  12. If sample correlation r = 0.45 and the positive critical value is 0.38, what is the outcome?

    • Invalid test
    • Do not reject H0
    • Accept H1
    • Reject H0

  13. If sample correlation r = -0.25 and the critical value is -0.32, what is the outcome?

    • Do not reject H0
    • Invalid test
    • Reject H0
    • Accept H1

  14. Aside from significance level, what value is needed to look up a PMCC critical value in tables?

    • Sample size
    • Variance
    • Standard deviation
    • Mean value

  15. What conclusion follows when H0: rho equals zero is rejected?

    • Data is perfectly linear
    • Causation is confirmed
    • No relationship exists
    • Evidence of correlation

  16. What does a PMCC value of r = -1 indicate about sample data?

    • Perfect positive correlation
    • Weak negative correlation
    • No linear correlation
    • Perfect negative correlation

  17. What type of test is performed when the hypothesis states H1: ρ ≠ 0?

    • Paired test
    • Two-tailed test
    • Two-sample test
    • One-tailed test

  18. If a 1% significance level test rejects H0, what happens at the 5% level for the same data?

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

  19. What correlation type does PMCC measure between two continuous variables?

    • Linear correlation
    • Causation strength
    • Non-linear correlation
    • Absolute difference

  20. What is the fundamental SI unit for mass in mechanics?

    • Kilogram
    • Tonne
    • Gram
    • Newton

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