Question

what statistical test is used to test the significance of the correlation coefficient?
$\chi^2$ test
$z$ test
$f$ test
$t$ test

Explanation:

The t-test is specifically designed to test the significance of the Pearson correlation coefficient, determining if the observed correlation differs from zero in the population. The chi-square test is for categorical data associations, z-test for population means/proportions, and F-test for variances or regression models—none target correlation significance directly.

Answer:

t test