A statistical significance level of .05 means that
A)the probability that a relationship as strong as the observed one can be attributed to sampling error alone is 5 percent.
B)we can be 5 percent sure that the relationship is real and not due to sampling error.
C)there is an .05 percent chance that a relationship as strong as the observed one can be attributed to sampling error.
D)the difference we observed in the table is 5 percent different.
E)there is a 5 percent standard error in the observations.

Question

Quizplus · Accepted Answer

A statistical significance level of .05 means that the probability that a relationship as strong as the observed one can be attributed to sampling error alone is 5 percent. In other words, if we were to repeat the study many times, 95 percent of those times we would expect to find a relationship similar to the one we observed, and 5 percent of the time we would expect to find a relationship as strong or stronger due to chance variation.

A Statistical Significance Level of .05 Means That