Eight movie releases — A, B, C, D, E, F, G, and H — are evaluated by two film critics, Sofia and Lucas. Each critic ranks the films from 1 (best) to 8 (worst) based on their artistic merit.
| Rank | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
|---|---|---|---|---|---|---|---|---|
| Sofia | E | A | G | B | H | D | F | C |
| Lucas | A | G | E | H | B | F | D | C |
Calculate Spearman’s rank correlation coefficient for this data.
Stating your hypotheses clearly, test at the 5% level of significance whether or not there is a positive correlation between the artistic rankings of the two critics.
355 exam-style questions on OCR (MEI) A Level Maths 2.5 Statistical Hypothesis Testing, covering 2.5.1 Process and language of hypothesis testing, 2.5.2 When to apply 1-tail and 2-tail tests, 2.5.3 Significance level and incorrect rejection, 2.5.4 Null and alternative hypotheses (binomial), 2.5.5 Conduct a binomial hypothesis test, 2.5.6 Critical and acceptance regions (binomial), 2.5.7 Distribution of the sample mean (A-level only), 2.5.8 Hypothesis test for a single mean (A-level only), 2.5.9 Critical and acceptance regions (mean) (A-level only), 2.5.10 Correlation as closeness to a straight line (A-level only), 2.5.11 Inference using a correlation coefficient (A-level only), and 2.5 Statistical Hypothesis Testing. Each one has a worked solution and a mark scheme showing where the marks go.