##### SPSS Statistics For Dummies
When conducting a statistical test, too often people jump to the conclusion that a finding “is statistically significant” or “is not statistically significant.” Although that is literally true, it doesn't imply that only two conclusions can be drawn about a finding.

What if in the real world no relationship exists between the variables, but the test found that there was a significant relationship? In this case, you would be making a false positive error because you falsely concluded a positive result (you thought it does occur when in fact it does not).

On the other hand, what if in the real world a relationship does exist between the variables, but the test found that there was no significant relationship? In this case, you would be making a false negative error, because you falsely concluded a negative result (you thought it does not occur when in fact it does).

In the Real World Statistical Test Results
Not Significant (p > 0.5) Significant (p < 0.5)
The two groups are not different The null hypothesis appears true, so you conclude the groups are not significantly different. False positive.
The two groups are different False negative. The null hypothesis appears false, so you conclude that the groups are significantly different.