What is the null hypothesis for correlation?
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The null hypothesis for correlation states that there is no relationship between two variables. In other words, it suggests that changes in one variable do not affect the other variable, and any observed correlation in the data is due to random chance rather than a true association. For example, if you're looking at the relationship between hours studied and exam scores, the null hypothesis would assert that studying does not have any effect on exam scores.
The null hypothesis for correlation, denoted as H0H_0H0, states that there is no significant correlation between the two variables being examined, formally expressed as H0:ρ=0H_0: \rho = 0H0:ρ=0, where ρ\rhoρ represents the population correlation coefficient.
The null hypothesis for correlation states that there is no relationship between the variables (r = 0).