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:
Reinforcement
A process in learning theory where behaviors are encouraged or discouraged through rewards or punishments.
Academic Pursuit
The active engagement in educational activities with the aim of gaining knowledge, skills, and qualifications.
Behaviorism
A theory of learning based on the idea that all behaviors are acquired through conditioning by interacting with the environment.
Operant Conditioning
A method of learning that employs rewards and punishments for behavior, encouraging the subject to associate certain actions with specific consequences.
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