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.
316 exam-style questions on OCR A Level Maths 2.5 Statistical Hypothesis Testing, covering 2.5.1 The language of hypothesis testing, 2.5.2 Hypothesis test for a binomial proportion, 2.5.3 Inference and significance level, 2.5.4 Sample mean as a random variable (A-level only), 2.5.5 Hypothesis test for the mean of a normal distribution (A-level only), 2.5.6 Pearson's product-moment correlation coefficient, and 2.5.7 Hypothesis test using Pearson's coefficient (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.