A student believes that, for cars, there is a positive correlation between engine capacity and CO2 _2\,2 emission.
The student collects data from a random sample of 35 cars. The correlation coefficient between engine capacity and CO2 _2\,2 emission for this sample is 0.42.
For n=35n = 35n=35, the critical value for a one-tailed test at the 2.5% significance level for the population correlation coefficient is 0.3338.
Carry out a hypothesis test at the 2.5% significance level to determine whether this sample provides evidence to support the student's belief.
162 exam-style questions on AQA A Level Maths 2.5 O: Statistical hypothesis testing, covering 2.5.1 Language of hypothesis testing, 2.5.2 Hypothesis test for a binomial proportion, and 2.5.3 Hypothesis test for a Normal mean (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.