A researcher is investigating whether there is a linear relationship between the daily average temperature, xxx ∘C^\circ\text{C}∘C, and the daily energy consumption, yyy kWh\text{kWh}kWh, in a large office building. She collects a sample of 45 days and intends to carry out a hypothesis test to determine if there is a significant linear correlation.
Letting ρ \rho\,ρ denote the population product-moment correlation coefficient and r r\,r denote the sample product-moment correlation coefficient, which of the following represents the correct null and alternative hypotheses for a two-tailed test of this relationship?
H0:ρ=0H_0: \rho = 0H0:ρ=0, H1:ρ≠0H_1: \rho \neq 0H1:ρ=0
H0:r=0H_0: r = 0H0:r=0, H1:r≠0H_1: r \neq 0H1:r=0
H0:ρ=0H_0: \rho = 0H0:ρ=0, H1:ρ<0H_1: \rho < 0H1:ρ<0
H0:ρ=0H_0: \rho = 0H0:ρ=0, H1:ρ>0H_1: \rho > 0H1:ρ>0
644 exam-style questions on OCR A Level Psychology Research methods and techniques. Each one has a worked solution and a mark scheme showing where the marks go.