Use the Spearman Rank Correlation Coefficient to Determine Whether the Correlation

question 38

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.
-In an area of the Midwest, records were kept on the rainfall and the yield of wheat. Can you conclude that
there is a correlation between rainfall and yield of wheat? Use $$\alpha$$ = 0.01. $$\begin{array} { l | l l l l l l l l l } \text { Rainfall (inches) } & 13.5 & 11.8 & 16.4 & 15.5 & 21.8 & 13.3 & 10.0 & 18.6 & 19.0 \\\hline \text { Yield (bushels per acre) } & 53.5 & 49.2 & 61.8 & 62.0 & 85.4 & 52.2 & 34.9 & 79.0 & 81.8\end{array}$$

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Definitions:

Extended

Something that is made longer, further reaching, or more comprehensive than originally.

Polygynous

A mating system where a male has more than one female mate at the same time.

Multi-parent

A family structure involving more than two individuals acting in a parenting role, offering care and support to their children.

Nurturant-responsible

A social and psychological concept emphasizing the need for individuals to be caring and responsible toward others.