A medical researcher records the age and systolic blood pressure of 20 patients. The product moment correlation coefficient for this data is calculated as r=0.482r = 0.482r=0.482.
Stating your hypotheses clearly test, at the 1% significance level, whether there is a positive correlation between age and systolic blood pressure.
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.