Professor Quincy Quacker found a statistically significant relationship between variable X and variable Y.It is statistically significant at the 0.05 level.What does this mean?
A)There are 95 chances in 100 that the results are true.
B)There is a 5 percent chance that the results are true.
C)If 100 samples were drawn,results like these could be obtained by pure random chance 10 percent of the time.
D)A person could be 95 percent sure that the results of the study were a reflection of the population if random sampling was used.
E)A and D.

Question

Quizplus · Accepted Answer

Statistical significance at the 0.05 level means that there is a 5 percent chance that the results are due to random chance. Therefore, there are 95 chances out of 100 that the results are true (A). Additionally, if random sampling was used, a person could be 95 percent sure that the results were a reflection of the population (D). Thus, both statements are correct, making E the best choice. Option C is incorrect because it does not accurately reflect the meaning of statistical significance at the 0.05 level.

Professor Quincy Quacker Found a Statistically Significant Relationship Between Variable