What are the hypotheses for testing to see if a correlation is statistically significant?

Step-by-step explanation:

For testing of significance of correlation coefficient denoted by r, we create hypotheses in three ways

They are one tailed, two tailed. One tailed can be stated as right tailed and also left tailed.

The null hypothesis would normally be as r=0

Verbally we can say this there is no association between the dependent and independent variable (linear)

Against this alternate hypothesis is created as

either r not equal to 0

or r>0 or r<0

If r not equal to 0, we say two tailed hypothesis test

If r>0 is alternate hypothesis, it is right tailed test

If r<0 is alternate hypothesis, then it is left tailed test.