If a researcher reported for a two-tailed single-sample t-test that t(10)= 2.25,then
A)p

Question

If a researcher reported for a two-tailed single-sample t-test that t(10)= 2.25,then
A)p < .02.
B)p < .05.
C)p < .01.
D)p < .001.

Quizplus · Accepted Answer

The appropriate significance level depends on the specific research question and context, but under standard conventions, a p-value of less than .05 is typically considered statistically significant. Since this is a two-tailed test, the appropriate level of significance is divided by two (i.e., .05/2 = .025). Looking up the critical value for a t-distribution with 10 degrees of freedom at .025 level of significance yields 2.306. Since our calculated t-value (2.25) falls within the range of values that would be considered significant, we reject the null hypothesis and conclude that there is evidence for a true difference between the sample mean and the population mean.

If a Researcher Reported for a Two-Tailed Single-Sample T-Test That