Study find a correlation coefficient of +0.7 between self repoed work satisfaction and expectancy of life in a random sample of 5000 corporate workers. (p = 0.01). This means ?
**Core Concept**
A correlation coefficient measures the strength and direction of the linear relationship between two variables, in this case, self-reported work satisfaction and expectancy of life. A correlation coefficient of +0.7 indicates a strong positive linear relationship, suggesting that as one variable increases, the other variable also tends to increase.
**Why the Correct Answer is Right**
The correlation coefficient of +0.7 suggests a strong positive linear relationship between work satisfaction and expectancy of life. This means that individuals who report higher work satisfaction also tend to have higher expectancy of life. The statistical significance of the correlation (p = 0.01) indicates that the observed relationship is unlikely to be due to chance. This relationship may be influenced by various factors, such as job engagement, social support, and stress levels.
**Why Each Wrong Option is Incorrect**
* **Option A:** A correlation coefficient of +0.7 does not necessarily imply causation, but rather a statistical association. This option is incorrect because it implies a causal relationship between work satisfaction and expectancy of life.
* **Option B:** The correlation coefficient of +0.7 is a measure of strength, not direction. This option is incorrect because it describes the direction of the relationship, which is not what the correlation coefficient indicates.
* **Option C:** While a strong positive correlation may suggest a relationship between work satisfaction and expectancy of life, it does not imply a dose-response relationship. This option is incorrect because it implies a specific relationship between the variables that is not supported by the correlation coefficient.
**Clinical Pearl / High-Yield Fact**
A correlation coefficient of +0.7 or higher is generally considered strong evidence of a linear relationship between two variables. However, it is essential to consider other factors, such as confounding variables and causality, when interpreting the results of a correlation analysis.
**Correct Answer: A. There is a strong positive linear relationship between work satisfaction and expectancy of life.**