Use the Spearman Rank Correlation Coefficient to Determine Whether the Correlation

question 3

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 table below lists the verbal and math SAT scores of 10 students selected at random. Test the claim that
there is no correlation between verbal and math SAT scores. Use $$\alpha$$ = 0.05. $$\begin{array} { c | c c c c c } \text { Verbal } & 295 & 380 & 385 & 290 & 370 \\\hline \text { Math } & 380 & 450 & 475 & 410 & 460\end{array}$$ $$\begin{array} { c | c c c c c } \text { Verbal } & 400 & 300 & 350 & 420 & 310 \\\hline \text { Math } & 425 & 510 & 430 & 300 & 310\end{array}$$

---

Definitions:

Descriptive Statistics

Statistical methods that describe and summarize data through measures such as mean, median, mode, and standard deviation.

Variables

Variables are symbols or names that represent values or characteristics that can vary within a study or experiment.

Evaluate Scores

The process of analyzing and assessing the scores obtained in a test or assessment.

Variables

Elements, characteristics, or conditions that can change or vary within a research study.