A portfolio manager is interested in reducing the risk of a particular portfolio by including assets that have little, if any, correlation. He wonders whether the stock prices for the firms Apple and Google are correlated. As a very preliminary step, he collects the monthly closing stock price for each firm from January 2012 to April 2012. 
a. Compute the sample correlation coefficient.
B) Specify the competing hypotheses to determine whether the stock prices are correlated.
C) Calculate the value of the test statistic and approximate the corresponding p-value.
D) At the 5% significance level, what is the conclusion to the test? Explain.
Definitions:
Brain Development
The process involving the growth and maturation of the brain over time, including the development of neural connections.
School Performance
The evaluation of a student’s academic work, typically measured through grades, test scores, and teacher assessments.
Ability to Decenter
The cognitive capacity to consider multiple aspects of a situation simultaneously, crucial in moving beyond egocentric thinking in childhood.
Cognitive Ability
Refers to the capacity of the brain to process information, solve problems, and understand complex ideas.
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