### Statistical Analysis in Psychology Class: Evaluating CorrelationA student in PSYC 227 class collects data for a class project. She asks 10 classmates to shoot 10 free throws on a standard basketball court and records the number of shots made by each participant ($X$). She also has these same participants run an obstacle course and records their time ($Y$). She wants to statistically evaluate if variables $X$ and $Y$ are related. #### Collected Data and ComputationsThe student computes the sum of squared deviations for $X$, the sum of squared deviations for $Y$, and the sum of cross products between $X$ and $Y$. The table below provides the detailed calculations:| $(X - \overline{X})^2$ | $(Y - \overline{Y})^2$ | $(X - \overline{X})(Y - \overline{Y})$ ||--------------------------|--------------------------|----------------------------------------|| 3.24 | 15.21 | -7.02 || 7.84 | 0.81 | -2.52 || 1.44 | 16.81 | -4.92 || 10.24| 4.41 | -6.72 || 0.04 | 9.61 | -0.62 || 0.64 | 8.41 | -2.32 || 3.24 | 15.21 | -7.02 || 1.44 | 0.01 | -0.12 || 0.04 | 4.41 | -0.42 || 0.64 | 3.61 | -1.52 |**SUM** | 28.8 | 78.5 | -33.2 |#### Statistical Hypothesis TestingBased on the data collected, the student needs to select the null hypothesis for the statistical test for the population Pearson's correlation. The options are:- $ r = .015 $- $ \rho = -.698 $- $ \rho = 0 $- $ r = -.309 $Selecting the correct null hypothesis will allow the student to proceed with the correlation

It is given that the two random variables X and Y. In a table, the sum of squared deviation of X and…

Answered: SUM 28.8 Select the null hypothesis for…

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SUM 28.8 Select the null hypothesis for the statistical test for the population Pearson's correlation. r=-.015 p=-.698 p=0 r=-.309 78.5