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Refer to the measured systolic and diastolic blood pressure measurements of 40 randomly selected males and test the claim that among men, there is a correlation between systolic blood pressure and diastolic blood pressure. Test for rank correlation with a 0.05 significance level. Click here to view the blood pressure data for men. Click here to view the critical values of Spearman's rank correlation coefficient. Systolic vs. Diastolic blood pressure Determine the null and alternative hypotheses for this test. Choose the correct answer below. ...... Blood Pressure OA Ho:, 0 Systolic OB. Ho: P0 H: P -0 Diastolic Systollic Diastolic Systolie Diastolic o H:, 0 133 79 131 83 134 84 OC. Ho:, 0 Hir, 0 123 75 150 82 155 89 D. Ho: Ps"0 105 70 119 72 113 77 H: P, 40 104 62 135 75 142 75 Determine the correlation coefficient. 123 82 160 88 116 66 151 81 100 59 156 87 . (Round to three decimal places as needed.) 115 78 160 89 158 83 102 70 130 69 128 79 160 81 115 79 115 77 157 74 103 69 109 63 154 77 101 67 130 69 116 75 158 79 143 80 114 67 117 78 108 67 158 85

Refer to the measured systolic and diastolic blood pressure measurements of 40 randomly selected males and test the claim that among men, there is a correlation between systolic blood pressure and diastolic blood pressure. Test for rank correlation with a 0.05 significance level. Click here to view the blood pressure data for men. Click here to view the critical values of Spearman's rank correlation coefficient. Systolic vs. Diastolic blood pressure Determine the null and alternative hypotheses for this test. Choose the correct answer below. ...... Blood Pressure OA Ho:, 0 Systolic OB. Ho: P0 H: P -0 Diastolic Systollic Diastolic Systolie Diastolic o H:, 0 133 79 131 83 134 84 OC. Ho:, 0 Hir, 0 123 75 150 82 155 89 D. Ho: Ps"0 105 70 119 72 113 77 H: P, 40 104 62 135 75 142 75 Determine the correlation coefficient. 123 82 160 88 116 66 151 81 100 59 156 87 . (Round to three decimal places as needed.) 115 78 160 89 158 83 102 70 130 69 128 79 160 81 115 79 115 77 157 74 103 69 109 63 154 77 101 67 130 69 116 75 158 79 143 80 114 67 117 78 108 67 158 85

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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I need correlation coefficient , critical values , p value , test statistic pls help I need in an hour 

### Spearman's Rank Correlation Coefficient **Hypotheses:** - **\( H_0: \rho_s = 0 \)** (The population rank correlation is zero) - **\( H_1: \rho_s \neq 0 \)** (The population rank correlation is not zero) #### Diagram Explanation The diagram depicts a probability distribution curve used to determine critical values for Spearman’s rank correlation coefficient. The curve is symmetric, centered at zero, with a horizontal range from -1 to 1. The areas under the tails, marked as \( \alpha/2 \), represent the critical region where the null hypothesis is rejected. #### Critical Values for Spearman’s Rank Correlation Coefficient (\( r_s \)) The table provides critical values for \( r_s \) at different significance levels (\( \alpha \)), based on the sample size (\( n \)). | \( n \) | \( \alpha = 0.10 \) | \( \alpha = 0.05 \) | \( \alpha = 0.02 \) | \( \alpha = 0.01 \) | |---------|-------------------|----------------------|---------------------|---------------------| | 5 | .900 | — | — | — | | 6 | .829 | .886 | .943 | — | | 7 | .714 | .786 | .893 | .929 | | 8 | .643 | .738 | .837 | .881 | | 9 | .600 | .700 | .783 | .833 | | 10 | .564 | .648 | .745 | .794 | | 11 | .536 | .618 | .709 | .755 | These critical values are used to test the null hypothesis for different significance levels and sample sizes. If the calculated \( r_s \) exceeds the critical value, the null hypothesis is rejected, indicating a statistically significant rank correlation.
Transcribed Image Text:### Spearman's Rank Correlation Coefficient **Hypotheses:** - **\( H_0: \rho_s = 0 \)** (The population rank correlation is zero) - **\( H_1: \rho_s \neq 0 \)** (The population rank correlation is not zero) #### Diagram Explanation The diagram depicts a probability distribution curve used to determine critical values for Spearman’s rank correlation coefficient. The curve is symmetric, centered at zero, with a horizontal range from -1 to 1. The areas under the tails, marked as \( \alpha/2 \), represent the critical region where the null hypothesis is rejected. #### Critical Values for Spearman’s Rank Correlation Coefficient (\( r_s \)) The table provides critical values for \( r_s \) at different significance levels (\( \alpha \)), based on the sample size (\( n \)). | \( n \) | \( \alpha = 0.10 \) | \( \alpha = 0.05 \) | \( \alpha = 0.02 \) | \( \alpha = 0.01 \) | |---------|-------------------|----------------------|---------------------|---------------------| | 5 | .900 | — | — | — | | 6 | .829 | .886 | .943 | — | | 7 | .714 | .786 | .893 | .929 | | 8 | .643 | .738 | .837 | .881 | | 9 | .600 | .700 | .783 | .833 | | 10 | .564 | .648 | .745 | .794 | | 11 | .536 | .618 | .709 | .755 | These critical values are used to test the null hypothesis for different significance levels and sample sizes. If the calculated \( r_s \) exceeds the critical value, the null hypothesis is rejected, indicating a statistically significant rank correlation.
### Educational Resource: Analyzing Correlation Between Systolic and Diastolic Blood Pressure In this study, we examine the correlation between systolic and diastolic blood pressure measurements from 40 randomly selected males. The objective is to determine if there's a statistical correlation, utilizing a significance level of 0.05. #### Hypothesis Testing The task involves determining the null and alternative hypotheses. The available hypotheses options are: - **Option A:** - Null Hypothesis \( H_0 \): \( r_s \neq 0 \) - Alternative Hypothesis \( H_1 \): \( r_s = 0 \) - **Option B:** - Null Hypothesis \( H_0 \): \( \rho_s \neq 0 \) - Alternative Hypothesis \( H_1 \): \( \rho_s = 0 \) - **Option C:** - Null Hypothesis \( H_0 \): \( r_s = 0 \) - Alternative Hypothesis \( H_1 \): \( r_s \neq 0 \) - **Option D (Correct Answer):** - Null Hypothesis \( H_0 \): \( \rho_s = 0 \) - Alternative Hypothesis \( H_1 \): \( \rho_s \neq 0 \) The correct choice is **Option D**, where \( \rho_s \) represents Spearman's rank correlation coefficient. #### Correlation Coefficient Calculation Participants are asked to determine the Spearman's rank correlation coefficient (\( r_s \)), rounding to three decimal places as needed. #### Data Summary The blood pressure data is presented in a table under the heading "Systolic vs. Diastolic blood pressure," displaying paired systolic and diastolic readings. Here are some sample data points: - Systolic 133, Diastolic 79 - Systolic 105, Diastolic 62 - Systolic 154, Diastolic 91 - Systolic 123, Diastolic 76 This dataset allows for the calculation of the correlation coefficient to test the hypothesis regarding the relationship between systolic and diastolic pressures. #### Graph or Diagram Explanation The data table includes two columns labeled "Systolic" and "Diastolic," listing sequential measurements of blood pressure. Each pair of readings (systolic and diastolic) represents an individual's
Transcribed Image Text:### Educational Resource: Analyzing Correlation Between Systolic and Diastolic Blood Pressure In this study, we examine the correlation between systolic and diastolic blood pressure measurements from 40 randomly selected males. The objective is to determine if there's a statistical correlation, utilizing a significance level of 0.05. #### Hypothesis Testing The task involves determining the null and alternative hypotheses. The available hypotheses options are: - **Option A:** - Null Hypothesis \( H_0 \): \( r_s \neq 0 \) - Alternative Hypothesis \( H_1 \): \( r_s = 0 \) - **Option B:** - Null Hypothesis \( H_0 \): \( \rho_s \neq 0 \) - Alternative Hypothesis \( H_1 \): \( \rho_s = 0 \) - **Option C:** - Null Hypothesis \( H_0 \): \( r_s = 0 \) - Alternative Hypothesis \( H_1 \): \( r_s \neq 0 \) - **Option D (Correct Answer):** - Null Hypothesis \( H_0 \): \( \rho_s = 0 \) - Alternative Hypothesis \( H_1 \): \( \rho_s \neq 0 \) The correct choice is **Option D**, where \( \rho_s \) represents Spearman's rank correlation coefficient. #### Correlation Coefficient Calculation Participants are asked to determine the Spearman's rank correlation coefficient (\( r_s \)), rounding to three decimal places as needed. #### Data Summary The blood pressure data is presented in a table under the heading "Systolic vs. Diastolic blood pressure," displaying paired systolic and diastolic readings. Here are some sample data points: - Systolic 133, Diastolic 79 - Systolic 105, Diastolic 62 - Systolic 154, Diastolic 91 - Systolic 123, Diastolic 76 This dataset allows for the calculation of the correlation coefficient to test the hypothesis regarding the relationship between systolic and diastolic pressures. #### Graph or Diagram Explanation The data table includes two columns labeled "Systolic" and "Diastolic," listing sequential measurements of blood pressure. Each pair of readings (systolic and diastolic) represents an individual's
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