An author reports the following information about a two-tailed paired-samples t test: t = 5.43, df = 83, p = .001. Which of the following is true?
A) There were 82 valid cases.
B) The null hypothesis was rejected
C) The two means were not significantly different.
D) All of the above are true.

Question

Quizplus · Accepted Answer

The p-value is less than .05 (the typical alpha level), so the null hypothesis (that the two means are equal) is rejected. Therefore, choice B is correct. Choices A and C cannot both be true because if the null hypothesis is rejected, then the two means are significantly different, so only one of those options can be true. Therefore, choice D is incorrect.

An Author Reports the Following Information About a Two-Tailed Paired-Samples