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. $$\begin{array} { l | c c c c c c c c c } \text { Number of Absences } & 0 & 3 & 6 & 4 & 9 & 2 & 15 & 8 & 5 \\\hline \text { Final Grade } & 98 & 86 & 80 & 82 & 71 & 92 & 55 & 76 & 82\end{array}$$

---

Definitions:

Paralanguage

The aspects of spoken communication that do not involve words themselves but rather tone, pitch, loudness, and other vocal qualities that convey meaning.

Time Language

The linguistic expressions and vocabulary related to describing or discussing aspects of time, including duration, sequences, or specific moments.

Gestures

Movements of the body or limbs that express or emphasize ideas or feelings.

Listening Ability

The capacity to accurately receive and interpret messages in the communication process, a crucial element of effective communication.