hypothesis test that rank correlation in the population is zero is conducted at the 5% level of significance. If the r ample of 15 observations, what is the computed value of the t-statistic? Multiple Choice 4.088
hypothesis test that rank correlation in the population is zero is conducted at the 5% level of significance. If the r ample of 15 observations, what is the computed value of the t-statistic? Multiple Choice 4.088
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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![### Hypothesis Testing for Rank Correlation
A hypothesis test that the rank correlation in the population is zero is conducted at the 5% level of significance. If the rank correlation coefficient is 0.50 for a sample of 15 observations, what is the computed value of the t-statistic?
#### Multiple Choice Options:
- ( ) 4.088
- ( ) 2.082
- ( ) 0.456
- ( ) 2.236
To solve this problem, you can use the formula for the t-statistic in a hypothesis test for rank correlation, which is given by:
\[ t = \frac{r \sqrt{n-2}}{\sqrt{1-r^2}} \]
Where:
- \( r \) is the rank correlation coefficient
- \( n \) is the sample size
Substitute the given values (\( r = 0.50 \), \( n = 15 \)) into the formula to find the computed value of the t-statistic.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0ab675ce-2e40-481e-8381-32ae8424bad9%2F147815ff-7b07-43e4-9358-0590a387fec4%2F5s0h2fnp_processed.png&w=3840&q=75)
Transcribed Image Text:### Hypothesis Testing for Rank Correlation
A hypothesis test that the rank correlation in the population is zero is conducted at the 5% level of significance. If the rank correlation coefficient is 0.50 for a sample of 15 observations, what is the computed value of the t-statistic?
#### Multiple Choice Options:
- ( ) 4.088
- ( ) 2.082
- ( ) 0.456
- ( ) 2.236
To solve this problem, you can use the formula for the t-statistic in a hypothesis test for rank correlation, which is given by:
\[ t = \frac{r \sqrt{n-2}}{\sqrt{1-r^2}} \]
Where:
- \( r \) is the rank correlation coefficient
- \( n \) is the sample size
Substitute the given values (\( r = 0.50 \), \( n = 15 \)) into the formula to find the computed value of the t-statistic.
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