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

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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.
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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