Use the Spearman Rank Correlation Coefficient to Determine Whether the Correlation

Essay

Use the Spearman rank correlation coefficient to determine whether the correlation between the given variables is
significant. Be sure to do the following: Identify the claim mathematically and state the null and alternative hypotheses.
Determine the critical value and find the test statistic. Decide whether to reject or fail to reject the null hypothesis and
interpret the decision in the context of the original claim.
-The temperatures on randomly chosen days during a summer class and the number of absences from class on
those days are listed below. Can you conclude that there is a correlation between temperature and the number
absent? Use $$\alpha = 0.01$$ $$\begin{array} { l | r r r r r r r r r } \text { Temp } & 75 & 88 & 94 & 93 & 91 & 101 & 78 & 103 & 83 \\\hline \text { Absences } & 6 & 10 & 13 & 13 & 11 & 18 & 7 & 18 & 8\end{array}$$