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When conducting a test of the correlation coefficient by hand, researchers can use a statistical table to find the critical values of $$r$$ for various sample sizes at a predetermined alpha level, such as $$\alpha = .05$$. If the calculated sample correlation coefficient is more extreme than the critical value retrieved from the table, the result is statistically significant, meaning there is sufficient evidence to reject the null hypothesis and conclude a relationship exists in the population.

Critical Values of r

When testing a correlation coefficient by hand, what does it mean if the calculated sample correlation coefficient is more extreme than the critical value retrieved from a statistical table?

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