Test the Significance of the Correlation Coefficient $r$ At $\alpha = 0.05$

question 50

Multiple Choice

Test the significance of the correlation coefficient $r$ at $\alpha = 0.05$ for the data below.
$\begin{array} { l c c c c c } \text { X values } & 53 & 60 & 68 & 78 & 83 \\ \text { Y values } & 81 & 86 & 91 & 97 & 104 \end{array}$

• A) Reject \(\rho = 0\) because \(12.15 > 2.78\)
• B) Accept \(\rho = 0\) because \(12.47 <\)
• C) Reject \(\rho = 0\) because \(12.47 > 3.18\)
• D) Accept \(\rho = 0\) because \(12.15 <\)

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Definitions:

Native Guards

Historical units of African American soldiers, particularly during the Civil War, challenging racial stereotypes and fighting for freedom and recognition.

Free Blacks

Individuals of African descent who were not enslaved, living in a time when slavery was a legal institution in various parts of the world, especially significant in the context of American history pre-Civil War.

Louisiana

A state in the southern region of the United States, known for its distinct French Creole culture, Mardi Gras, and as the birthplace of jazz.

Black Enlistment

Refers to the historic recruitment and incorporation of African American individuals into military services.