When determining the statistical significance of the relationship between two variables measured by using r,the hypotheses to be tested are H₀: ρ = 0 and H₁:ρ ≠ 0

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This is true as the null hypothesis (H₀: ρ = 0) assumes that there is no significant relationship between the two variables (i.e. correlation coefficient is zero) and the alternative hypothesis (H₁:ρ ≠ 0) assumes that there is a significant relationship (i.e. correlation coefficient is not equal to zero). The significance level and p-value will determine whether the null hypothesis can be rejected or not.

When Determining the Statistical Significance of the Relationship Between Two