You are doing a two-tailed paired-samples t test and your results are statistically significant. The phrase "statistical significance" means the same as which of the following?
A) There is a large difference between the means in the population.
B) There is an important difference between the means in the population.
C) You are willing to reject the claim that there is no difference between the means in the population.
D) You are NOT willing to reject the claim that there is no difference between the means in the population.

Question

Quizplus · Accepted Answer

Statistical significance means that the results are unlikely to occur by chance and are instead due to a true difference between the means. In the case of a two-tailed paired-samples t test, a statistically significant result means that we are willing to reject the null hypothesis that there is no difference between the means in the population. Therefore, choice C is the best answer. Choices A and B are incorrect because statistical significance does not necessarily imply a large or important difference. Choice D is also incorrect because a statistically significant result means that we are rejecting the claim of no difference.

You Are Doing a Two-Tailed Paired-Samples T Test and Your