A researcher believes that, in adults, there is a negative correlation between the number of hours spent sitting each day and their measured fitness score.
The researcher collects data from a random sample of 45 adults. The correlation coefficient between hours spent sitting and fitness score for this sample is -0.38.
For n=45n = 45n=45, the critical value for a one-tailed test at the 2.5% significance level for the population correlation coefficient is 0.2940.
Carry out a hypothesis test at the 2.5% significance level to determine whether this sample provides evidence to support the researcher'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.