A research report describing the results from a repeated-measures t test states,"t(22)= 1.71,p .05." From this report you can conclude that the outcome of the hypothesis test was to ____.
A)reject the null hypothesis with a sample of n = 23 participants
B)fail to reject the null hypothesis with a sample of n = 23 participants
C)reject the null hypothesis with a sample of n = 22 participants
D)fail to reject the null hypothesis with a sample of n = 22 participants

Question

A research report describing the results from a repeated-measures t test states,"t(22)= 1.71,p > .05." From this report you can conclude that the outcome of the hypothesis test was to ____.​
A)​reject the null hypothesis with a sample of n = 23 participants
B)​fail to reject the null hypothesis with a sample of n = 23 participants
C)​reject the null hypothesis with a sample of n = 22 participants
D)​fail to reject the null hypothesis with a sample of n = 22 participants

Quizplus · Accepted Answer

The t-value of 1.71 is not significant at the .05 level (as indicated by p > .05), which means we fail to reject the null hypothesis. The sample size of 23 is not relevant to this conclusion as it is represented by the degrees of freedom (df) in the t-test equation, which is calculated as df = n - 1. In this case, df = 22, which is represented in the t(22) notation. Therefore, the correct answer is B: fail to reject the null hypothesis with a sample of n = 23 participants.

A Research Report Describing the Results from a Repeated-Measures T