AQA Paper 3 2024 June — Question 16

Exam BoardAQA
ModulePaper 3 (Paper 3)
Year2024
SessionJune
TopicHypothesis 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