Q25. Using the Pearson correlation coefficient, a study on addiction found a positive correlation between time of cravings and time of relapse (r = .51) in a sample of 20 people with a drug addiction. Using a two-tailed test at a .05 level of significance, test whether the correlation is significantly different than 0. Follow the prompts.Step 1. State the hypotheses.ABCDStep 2. Find the critical values. df = _______CV = +/- (do not include +/-) DO NOT USE eTEXT TABLE C.5 - CVs ARE WRONG. Use table attached to homework instead. _________Step 4. Make a decision about the null hypothesis.a. Reject H0b. Retain H0 ### Hypothesis Testing ExamplesHere are four examples of null and alternative hypotheses, represented by \( H_0 \) and \( H_1 \), respectively:#### (A)- **Null Hypothesis (\( H_0 \))**: \( \rho = 0.51 \)- **Alternative Hypothesis (\( H_1 \))**: \( \rho \neq 0.51 \)#### (B)- **Null Hypothesis (\( H_0 \))**: \( \rho = 0 \)- **Alternative Hypothesis (\( H_1 \))**: \( \rho \neq 0 \)#### (C)- **Null Hypothesis (\( H_0 \))**: \( \rho \neq 0 \)- **Alternative Hypothesis (\( H_1 \))**: \( \rho = 0 \)#### (D)- **Null Hypothesis (\( H_0 \))**: \( \rho \neq 0.51 \)- **Alternative Hypothesis (\( H_1 \))**: \( \rho = 0.51 \)These examples illustrate how hypotheses can be structured to test specific claims about a parameter, such as a correlation coefficient (\( \rho \)) in a population.

Answered: . Using the Pearson correlation…

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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Q25. Using the Pearson correlation coefficient, a study on addiction found a positive correlation between time of cravings and time of relapse (r = .51) in a sample of 20 people with a drug addiction. Using a two-tailed test at a .05 level of significance, test whether the correlation is significantly different than 0. Follow the prompts.

Step 1. State the hypotheses.

Step 2. Find the critical values. df = _______

CV = +/- (do not include +/-) DO NOT USE eTEXT TABLE C.5 - CVs ARE WRONG. Use table attached to homework instead. _________

Step 4. Make a decision about the null hypothesis.

a. Reject H0

b. Retain H0