A researcher asks the question "Is there a relationship between LSAT total scores and GPAs in the master's programs in nuclear physics?" The researcher's null hypothesis states, "There is no correlation between LSA total score and GPA from and nuclear physics master's program." The researcher's alternative hypothesis states, "There is a positive correlation between LSAT total scores and GPA from an nuclear physics master's program."
Are these valid hypotheses for the research question? Why or why not? What other observations can you make regarding the hypotheses and research question?