Use the Spearman Rank Correlation Coefficient to Determine Whether the Correlation

question 61

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 number of absences and the final grades of 9 randomly selected students from a statistics class are given
below. Can you conclude that there is a correlation between final grade and number of absences? Use $\alpha$ = 0.01. $$\begin{array} { l | c c c c c c c c c } \text { Number of Absences } & 0 & 3 & 6 & 4 & 9 & 2 & 15 & 8 & 5 \\\hline \text { Final Grade } & 98 & 86 & 80 & 82 & 71 & 92 & 55 & 76 & 82\end{array}$$

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