| Exam Board | AQA |
| Module | Paper 3 (Paper 3) |
| Year | 2024 |
| Session | June |
| Topic | Hypothesis test of Pearson’s product-moment correlation coefficient |
16 A medical student believes that, in adults, there is a negative correlation between the amount of nicotine in their blood stream and their energy level.
The student collected data from a random sample of 50 adults.
The correlation coefficient between the amount of nicotine in their blood stream and their energy level was - 0.45
Carry out a hypothesis test at the \(2.5 \%\) significance level to determine if this sample provides evidence to support the student's belief.
For \(n = 50\), the critical value for a one-tailed test at the \(2.5 \%\) level for the population correlation coefficient is 0.2787