Select a significance level α and reject the null-hypothesis if the p-value is less than α. Explain, in complete sentences, your findings: Is there a statistically significant association (at α level) between the provided genes? What is the magnitude and the direction of the association? ### Transcription of Image Content for Educational Purposes#### R Code for Correlation Coefficient Calculation1. **Using cor() method:** - Code: ```r result = cor(x, y, method = "pearson") ```2. **Print the result:** - Code: ```r cat("Person correlation coefficient is:", result) ``` - Output: ``` Person correlation coefficient is: 0.9312196 ```3. **Using cor.test() method:** - Code: ```r res = cor.test(x, y, method = "pearson") ```4. **Print the detailed result:** - Code: ```r print(res) ``` - Output: ``` Pearson's product-moment correlation data: x and y t = 26.553, df = 108, p-value < 2.2e-16 alternative hypothesis: true correlation is not equal to 0 95 percent confidence interval: 0.901059 0.9523982 sample estimates: cor 0.9312196 ```### Explanation of Output- **Pearson's Product-Moment Correlation:** This is a measure of the linear correlation between two variables, x and y. - **Data:** The variables analyzed are labeled as x and y.- **t-value:** 26.553; this statistic is used to determine the significance of the correlation.- **Degrees of Freedom (df):** 108; represents the number of values in the calculation that are free to vary.- **p-value:** Less than 2.2e-16; suggests a very strong statistical significance for the correlation.- **Alternative Hypothesis:** The hypothesis that the true correlation is not equal to zero.- **95 Percent Confidence Interval:** Ranges from 0.901059 to 0.9523982, indicating the precision of the estimate.- **Sample Estimate for Correlation (cor):** 0.9312196; a high value indicating a strong positive linear relationship between variables x and y.

The level of significance is 0.05.The p-value is less than 0.05. Thus, reject the null hypothesis. Thus, there is sufficient evidence to support the claim that there is a statistically significant association (at α level) between the provided genes. The magnitude is 0.9312. Since, the sign of the correlation is positive. Thus, the direction of the association is positive.

Math

Statistics

Select a significance level α and reject the null-hypothesis if the p-value is less than α. Explain, in complete sentences, your findings: Is there a statistically significant association (at α level) between the provided genes? What is the magnitude and the direction of the association?

Select a significance level α and reject the null-hypothesis if the p-value is less than α. Explain, in complete sentences, your findings: Is there a statistically significant association (at α level) between the provided genes? What is the magnitude and the direction of the association?

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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