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t-test of a correlation coefficient is used for testing the sample correlation against population correlation of zero. To test an assumed value of the population coefficient other than zero, we should use z-test for a correlation coefficient.

Question:

  1. What makes the tests different such that the t-test can only test for zero? Isn't the z-test a special case of the t-test (infinite degree of freedom)?

  2. Since the t-test can't be used for tested for non-zero correlation. Why can't we always use the z-test? What's the point of the t-test?

EDITED for reference:

100 Statistical Tests by Gopal K.Janji

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