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.

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

See similar textbooks

Similar questions

A. Write the hypothesis and null you believe the researcher is testing. B. Make a claim about this hypothesis test; noting form, degree, and significance in yourclaim. C. Make a claim about the overall fit of the model (significance, variance explained). D. Discuss a plausible potential control variable you would want to include and the impact that you would speculate it to have on this relationship. (For example, what type of control is your variable, how will it alter the relationship between the DV and the IV, etc.).
A research company wants to determine whether there is a difference in effectiveness of a brand- name ibuprofen and generic ibuprofen. What are the appropriate hypotheses for this testing scenario? Let µ equal the mean of the effectiveness of brand-name ibuprofen and µ2 equal the mean of the effectiveness of generic ibuprofen. O Ho: H1 - H2 = 0 Hạ: H1 - H2 > 0 O Ho: H1 - µ2 = 0 Hạ: H1 - H2 0 O Ho: X1 - X2 = 0 Hạ: X1 - X2 + 0
Periodically, customers of a financial services company are asked to evaluate the company's financial consultants and services. Higher ratings on the client satisfaction survey indicate better service, with 7 the maximum service rating. Independent samples of service ratings for two financial consultants are summarized here. Consultant A has 10 years of experience, whereas consultant B has 1 year of experience. Use α = 0.05 and test to see whether the consultant with more experience has the higher population mean service rating. Consultant A Consultant B n1 = 16 n2 = 10 x1 = 6.81 x2 = 6.26 s1 = 0.64 s2 = 0.75 (a) State the null and alternative hypotheses. H0: μ1 − μ2 ≤ 0 ; Ha: μ1 − μ2 = 0 H0: μ1 − μ2 ≤ 0 ; Ha: μ1 − μ2 > 0 H0: μ1 − μ2 ≠ 0 ; Ha: μ1 − μ2 = 0 H0: μ1 − μ2 = 0 ; Ha: μ1 − μ2 ≠ 0 H0: μ1 − μ2 > 0 ; Ha: μ1 − μ2 ≤ 0 (b)Compute the value of the test statistic. (Round your answer to three decimal places.) = (c) What is the p-value? (Round your answer…
Can you please help me on 7 and 8?
4. A community college wants to analyze the age and GPA of its students. Here is the data: Age 18 40 25 38 44 19 51 28 31 24 GPA 2.9 3.3 2.0 3.9 3.7 2.7 3.9 3.5 1.9 2.9 3.4 Can we say that there is a significant relationship between these variables? (Use a = %3D .05) Type of Test: Null Hypothesis: Alternate Hypothesis: SE: Test Statistic: P-value: Decision: Sentence: 21
Researchers investigate how the presence of cell phones influence the quality of human interaction. Subjects are randomly selected from a population and divided into an experimental group that is asked to leave their phones in the front of the room and a control group that are not asked to leave their cell phones at the front of the room. Subjects are left alone for 10 minutes and then asked to take a survey designed to measure quality of interactions they had with others in the experiment. What statistical test is appropriate?
Which of the following is the correct decision and conclusion based on the result? a. Decision: Fail to reject the null hypothesis Conclusion: There is a significant correlation between the variables. Thus, as COVID cases increases, the day also increases. b. Decision: Reject the null hypothesis Conclusion: There is a significant correlation between the variables. Thus, as the day goes by, daily COVID cases increases. c. Decision: Reject the null hypothesis Conclusion: There is no significant correlation between the variables. Thus, as the day goes by, daily COVID cases decreases. d. Decision: Fail to reject the null hypothesis Conclusion: There is no significant correlation between the variables. Thus, as the day goes by, daily COVID cases will be the same.
Suppose we are interested in the relationship between individuals’ place of residence (rural versus urban) and their political affiliation (Republican versus Democrat). A random sample of 100 individuals yields the following crosstabulation: Political Affiliation Place of Residence Republican Democrat Rural 21 29 Urban 14 36 a) In words, what is the null hypothesis to be tested? b) Is the relationship between place of residence and political affiliation statistically significant at the .05 level? (Be sure to show the statistics that lead to your decision.) c) Compute and interpret an appropriate measure of association for the relationship between these two variables.
A researcher uncovers that there is a significant interaction between the factor of marital status (i.e., married or non-married) and participant sex (i.e., male or female) regarding well-being. A researcher decides to compare the difference in well-being between married men and women. What would be the null hypothesis for this comparison? a. µMale ≠ µFemale for married individuals b. µMale ≠ µFemale for non-married individuals c. µMale = µFemale for non-married individuals d. µMale = µFemale for married individuals
(c) Calculate the test statistic. d) Decide whether to reject or fail to reject the null hypothesis. Then interpret the decision in the context of the original claim.
Which of the following statements is true regarding the influence of a small alpha level in the context of hypothesis testing? a. A small alpha level reduces the likelihood of a Type I error. b. A small alpha level reduces the effect size. c. A small alpha level increases statistical power. d. A small alpha level increases the likelihood of detecting statistical significance.
5. In a certain county, the local newspaper reports that the average family income for that county is $45,000. Economists at the university believe that first-time home buyers have an average family income which is higher than this. Which of the following hypotheses would be appropriate for a significance test? Ho: u= 45, 000 Ha: µ# 45, 000 b. H.: u= 45, 000 Ha: µ> 45, 000 H.: u= 45, 000 Ha: u 45, 000 Ha: u = 45, 000 a. C. е.