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This error-reporting system (probability) establishes statistical significance and accuracy among results of statistical tests.
If the p-value results in .04, then there is an even smaller chance of error in the results.
Perhaps you were interested in learning more about the relationship strength of your participants' anxiety score and the number of hours they work each week.
After conducting the test, your Pearson correlation coefficient value is -0.08.
The lower the p-value, the more accurate the statistical significance is and the less chance of error.
Ideally, you want your statistical tests to result in as small a p-value as possible.
You could confidently conclude there is a strong relationship and positive correlation between one's age and their income.
In other words, as people grow older, their income tends to increase as well.