"Test the significance of the correlation coefficient using a t-test at a significance level of 5%".

To test the significance of the correlation coefficient using a t-test, we first need to establish the context and hypotheses for the test. The primary goal is to determine if the observed correlation between two variables is statistically significant or if it might have occurred by chance.

### Steps for testing the significance of the correlation coefficient:

1. Formulate Hypotheses:
   - Null Hypothesis (H₀): The population correlation coefficient (ρ) is equal to zero, meaning there is no linear relationship between the variables. Mathematically, H₀: ρ = 0.
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