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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

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

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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### Statistical Analysis in Psychology Class: Evaluating Correlation A 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 Computations The 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 Testing Based 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
Transcribed Image Text:### Statistical Analysis in Psychology Class: Evaluating Correlation A 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 Computations The 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 Testing Based 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
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