Multiple Choice Question

Question

The most likely way for a t test to be presented in a research article for a study with 25 participants is

a. t (25) < significant

b. t (25) = 3.01, p < .05

c. t (24) = 2.94, p < .01

d. t (24) < significant

Answer 1

Hello, thank you for taking the time to post your question!

You can start by eliminating answer choices (a) and (b) because this type of statistic would start by reporting the degrees of freedom, which would be df = n – 1 = 25 – 1 = 24.

Between choice (c) and (d) then I think that (c) is the best presentation because it gives the reported test statistic and then indicates significance using the p-value rather than just claiming it like choice (d)

So I think the best presentation of the answer choices listed is t(24) = 2.94, p < .01

I hope that helps get you moving in the right direction! Feel free to reach out if you have any additional questions beyond that :)

Answer 2

Theresa:

 

The most likely way for a t test to be presented in a research article for a study with 25 participants is

c. t (24) = 2.94, p < .01

 

I take it that the "most likely way" refers to a t-test for a single population mean when the population variance is unknown.  In this situation the t-statistic has, under H_o, a t-distribution with 24 degrees of freedom (with a random sample of size 25 participants).  The "p" in p < 0.1 is the P_value.

 

DR. G.