An environmental researcher believes that there is a positive correlation between the average daily temperature in a city and the concentration of ground-level ozone.
The researcher collected data from a random sample of 40 days.
The product moment correlation coefficient (PMCC) between the temperature and ozone concentration for this sample was 0.38.
Carry out a hypothesis test at the 1% significance level to determine if this sample provides sufficient evidence to support the researcher's belief.
For n=40n = 40n=40, the critical value for a one-tailed test at the 1% level for the population correlation coefficient is 0.3665.
Practise Edexcel A Level Maths Regression, Correlation and Hypothesis Testing with exam-style questions for A Level Maths. 202 questions covering Exponential Models, Measuring Correlation, and Hypothesis Testing for Zero Correlation, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.
