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what’s the p-value? and how do you find i

what’s the p-value? and how do you find i

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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what’s the p-value? and how do you find it
The image is a screenshot from a statistical software tool called StatKey, used for conducting randomization tests. The main focus is a "Randomization Dotplot" representing a hypothesis test comparing two proportions. Below is a detailed explanation of the components: ### Graph Explanation: - **Title:** Randomization Dotplot of \( \hat{p}_1 - \hat{p}_2 \) - **Null Hypothesis:** \( p_1 = p_2 \) - **Graph Details:** - The x-axis ranges from -0.025 to 0.025, centered around a null difference of 0. - The y-axis shows the frequency of occurrences, with a maximum frequency reached at around 150. - The plot depicts a bell-shaped distribution, indicating the differences between two proportions under the null hypothesis. - The area under the curve is mainly black, representing the central part of the distribution, with two tails (left and right) shown in red. - **Probability Values:** - **Left Tail:** 0.025 probability - **Two-Tail:** 0.950 probability - **Right Tail:** 0.025 probability - **Sample Data:** - **Number of Samples:** 5000 - **Mean:** 0.000084 - **Standard Error:** 0.0068 ### Table Explanation: #### Original Sample: - **Group 1:** - Count: 173 - Sample Size: 3061 - Proportion: 0.057 - **Group 2:** - Count: 427 - Sample Size: 3876 - Proportion: 0.110 - **Group 1 - Group 2:** - Difference in Proportions: -254 - Difference: -0.054 #### Randomization Sample: - **Group 1:** - Count: 303 - Sample Size: 3061 - Proportion: 0.099 - **Group 2:** - Count: 297 - Sample Size: 3876 - Proportion: 0.077 - **Group 1 - Group 2:** - Difference in Proportions: 6 - Difference: 0.022 ### Additional Information: - The software version is Stat
Transcribed Image Text:The image is a screenshot from a statistical software tool called StatKey, used for conducting randomization tests. The main focus is a "Randomization Dotplot" representing a hypothesis test comparing two proportions. Below is a detailed explanation of the components: ### Graph Explanation: - **Title:** Randomization Dotplot of \( \hat{p}_1 - \hat{p}_2 \) - **Null Hypothesis:** \( p_1 = p_2 \) - **Graph Details:** - The x-axis ranges from -0.025 to 0.025, centered around a null difference of 0. - The y-axis shows the frequency of occurrences, with a maximum frequency reached at around 150. - The plot depicts a bell-shaped distribution, indicating the differences between two proportions under the null hypothesis. - The area under the curve is mainly black, representing the central part of the distribution, with two tails (left and right) shown in red. - **Probability Values:** - **Left Tail:** 0.025 probability - **Two-Tail:** 0.950 probability - **Right Tail:** 0.025 probability - **Sample Data:** - **Number of Samples:** 5000 - **Mean:** 0.000084 - **Standard Error:** 0.0068 ### Table Explanation: #### Original Sample: - **Group 1:** - Count: 173 - Sample Size: 3061 - Proportion: 0.057 - **Group 2:** - Count: 427 - Sample Size: 3876 - Proportion: 0.110 - **Group 1 - Group 2:** - Difference in Proportions: -254 - Difference: -0.054 #### Randomization Sample: - **Group 1:** - Count: 303 - Sample Size: 3061 - Proportion: 0.099 - **Group 2:** - Count: 297 - Sample Size: 3876 - Proportion: 0.077 - **Group 1 - Group 2:** - Difference in Proportions: 6 - Difference: 0.022 ### Additional Information: - The software version is Stat
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