A marine biologist investigates the relationship between the concentration of a specific micro-plastic (xxx, measured in particles per litre) and the reproductive rate of a plankton colony (yyy, measured in offspring per individual). For a random sample of 25 water stations, the product moment correlation coefficient was calculated as r=−0.491r = -0.491r=−0.491. The data is assumed to be drawn from a bivariate normal distribution. Carry out a hypothesis test at the 1% significance level to determine whether there is evidence of a negative correlation between micro-plastic concentration and plankton reproduction. The critical value for the product moment correlation coefficient at the 1% significance level for a sample size of 25 is 0.4622.
Practise Edexcel A Level Maths Hypothesis Testing for Zero Correlation with exam-style questions for A Level Maths. 52 questions, 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.
