What would be an appropriate statistical test for hypotheses to ensure alignment of the hypotheses to research questions below?

H0 (a): There is no statistically significant relationship in the two datasets examined between the experience of math teachers in grades 7-12 and their students' academic performance in the urban school district under consideration.

H1 (a): A statistically significant relationship exists in the two datasets examined between the experience of math teachers in grades 7-12 and their students' academic performance in the urban school district under consideration.

H0 (b): There is no statistically significant relationship in the two datasets examined between applied pedagogical approaches to teaching, such as student-centered or teacher-centered, and students' academic achievements in the urban school district under consideration.

H1 (b): A statistically significant relationship exists in the two datasets examined between applied pedagogical approaches to teaching, such as student-centered or teacher-centered, and students' academic achievements in the urban school district under consideration.