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{S 4. 1!14.1 ] A random sample of size 13 is ta Ken from a population, and tor each individual in the sample measurements on two variables {X and Y} are obtained. The sample correlation of}! and Y is calculated to be r2 = 0.600625. Carry out a hypothesis test on H0 : p = against HA : p a! CI . Ifthe null hypothesis is true, then the test statistic will follow a tdistribulion with Iwhat degrees of freedom?| Calculate the value of the test statistict using the appropriate tonnula. Round your response to at least 3 decimal places. (remember, you were given r2, Calculate the Pyalue for this 2tailed test using the lcdt command. Round your answer to 4 decimal places