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kma27
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Determine whether a correlation coefficient of r = –0.405 is significant at the 5% level for a sample size of 22.
Is r = –0.405 Significant at 5% for n = 22?
- Context: Undergrad
- Thread starter kma27
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SUMMARY
A correlation coefficient of r = –0.405 is significant at the 5% level for a sample size of 22. The critical value for significance can be determined using a t-distribution, where the degrees of freedom (df) equals n - 2, resulting in df = 20. The calculated t-value for r = –0.405 is approximately –1.77, which exceeds the critical t-value of ±2.086 for a two-tailed test at the 5% significance level. Therefore, the correlation is statistically significant.
PREREQUISITES- Understanding of correlation coefficients and their interpretation
- Familiarity with t-distribution and degrees of freedom
- Knowledge of hypothesis testing and significance levels
- Experience with statistical software, such as SAS or R
- Learn how to calculate t-values for correlation coefficients
- Explore confidence interval construction for correlation coefficients
- Study the implications of correlation significance in research
- Investigate the use of SAS for statistical analysis
Statisticians, researchers, data analysts, and students studying correlation analysis and hypothesis testing.
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