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Match each P-value with the graph that displays its area without performing any calculations. Explain your reasoning. P = 0.3050 and P= 0.0104. (a) z= -2.31 (b) z = -0.51 the V displays the area for P = 0.3050 and graph V displays the area for P = 0.0104 because the P-value Graph

Match each P-value with the graph that displays its area without performing any calculations. Explain your reasoning. P = 0.3050 and P= 0.0104. (a) z= -2.31 (b) z = -0.51 the V displays the area for P = 0.3050 and graph V displays the area for P = 0.0104 because the P-value Graph

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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### Educational Content on P-Values and Z-Scores **Instruction:** Match each P-value with the graph that displays its area without performing any calculations. Explain your reasoning. Given P-values are 0.3050 and 0.0104. #### Graph Descriptions: 1. **Graph (a):** - **Z-score:** z = -2.31 - **Description:** This is a normal distribution curve shaded to the left of z = -2.31. The area under the curve to the left represents the P-value. 2. **Graph (b):** - **Z-score:** z = -0.51 - **Description:** This is a normal distribution curve shaded to the left of z = -0.51. The area under the curve to the left represents the P-value. #### Matching the P-values: - **Graph (a)** has a Z-score of -2.31. This indicates a smaller area (as it's further away from the mean) corresponding to the P-value of **0.0104**. - **Graph (b)** has a Z-score of -0.51. This indicates a larger area (closer to the mean) corresponding to the P-value of **0.3050**. #### Interactive Element: Users are prompted to select which graph displays the correct area for each P-value. Once selections are made, clicking "Check Answer" will provide feedback on the correctness of the choices. #### Conclusion: Understanding how Z-scores relate to P-values is crucial for interpreting statistical results. The further the Z-score is from zero, the smaller the P-value, indicating stronger evidence against the null hypothesis. --- **Instruction Box:** - **Selector:** Choose the correct graph for each P-value. - **Button:** Click “Check Answer” to verify your response. - **Note:** Ensure reasoning aligns with the statistical rules regarding Z-scores and P-values.
Transcribed Image Text:### Educational Content on P-Values and Z-Scores **Instruction:** Match each P-value with the graph that displays its area without performing any calculations. Explain your reasoning. Given P-values are 0.3050 and 0.0104. #### Graph Descriptions: 1. **Graph (a):** - **Z-score:** z = -2.31 - **Description:** This is a normal distribution curve shaded to the left of z = -2.31. The area under the curve to the left represents the P-value. 2. **Graph (b):** - **Z-score:** z = -0.51 - **Description:** This is a normal distribution curve shaded to the left of z = -0.51. The area under the curve to the left represents the P-value. #### Matching the P-values: - **Graph (a)** has a Z-score of -2.31. This indicates a smaller area (as it's further away from the mean) corresponding to the P-value of **0.0104**. - **Graph (b)** has a Z-score of -0.51. This indicates a larger area (closer to the mean) corresponding to the P-value of **0.3050**. #### Interactive Element: Users are prompted to select which graph displays the correct area for each P-value. Once selections are made, clicking "Check Answer" will provide feedback on the correctness of the choices. #### Conclusion: Understanding how Z-scores relate to P-values is crucial for interpreting statistical results. The further the Z-score is from zero, the smaller the P-value, indicating stronger evidence against the null hypothesis. --- **Instruction Box:** - **Selector:** Choose the correct graph for each P-value. - **Button:** Click “Check Answer” to verify your response. - **Note:** Ensure reasoning aligns with the statistical rules regarding Z-scores and P-values.
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