The Correlation Between Two Variables Is 0

question 53

Multiple Choice

The correlation between two variables is 0.29 for a sample of 12 observations. Based on a null hypothesis of no correlation versus an alternative hypothesis of positive correlation, what conclusion may be drawn at the.05 level of significance?

• A) Reject H₀. There is evidence of positive correlation between the variables.
• B) Do not reject H₀. We do not have evidence of positive correlation.
• C) Reject H₀. We have evidence of negative correlation.

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Definitions:

Alpha Waves

Brain waves that are present when the brain is in a relaxed, wakeful state, typically with closed eyes, indicating calmness and relaxation.

Deep Sleep

A phase of sleep that involves the slowest brain waves during sleep, crucial for restorative sleep.

Brain Disorders

Conditions that affect the structure or function of the brain, leading to a broad spectrum of symptoms, including cognitive impairment and emotional disturbances.

Beta Waves

Beta waves are a type of brainwave frequency associated with active, alert, and focused cognitive states.