The Table Below Lists the Verbal and Math SAT Scores $\alpha = 0.05 .$

The table below lists the verbal and math SAT scores of 10 students selected at random.
Calculate Spearman's rank correlation coefficient. Test the hypothesis of no correlation between verbal and math SAT scores. Be sure to specify the null and alternative hypotheses. Use $\alpha = 0.05 .$ $$\begin{array}{l}\begin{array} { l | l l l l l } \text { Verbal } & 380 & 465 & 470 & 375 & 455 \\\hline \text { Math } & 465 & 535 & 560 & 495 & 545\end{array}\\\\\begin{array} { l | l l l l l } \text { Verbal } & 485 & 385 & 435 & 505 & 395 \\\hline \text { Math } & 510 & 595 & 515 & 385 & 395\end{array}\end{array}$$