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:

Predators

Organisms that hunt, kill, and consume other organisms for food, playing crucial roles in maintaining ecological balance.

Group Living

The behavior of living together in organized communities or closely knit groups for mutual benefits such as protection, cooperation, and socialization.

Hunting Success

The rate or efficiency with which a predator can capture and kill its prey.

Whooping Cranes

A species of large North American birds, known for their distinctive whooping call and falling under severe threat of extinction.