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Paper 3 · Statistics5.1 Statistical hypothesis testing

Question 1 · 4 marks

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Spec and skills
  • Paper scope: Paper 3 Statistics
  • Spec S5.1
  • Spec S2.2
  • Original practice question
A sports scientist measures the hand span xx cm and the grip strength yy kg of 10 randomly chosen adults. The product moment correlation coefficient is r=0.61r = 0.61. The one-tailed 5% critical value for n=10n = 10 is 0.5494.
(a)
Test, at the 5% level, whether there is positive correlation between hand span and grip strength.
3 marks

H0:ρ=0\text{H}_0: \rho = 0, H1:ρ>0\text{H}_1: \rho > 0, where ρ\rho is the population correlation coefficient.

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