To accept the null hypothesis when using a between-subjects t-test, which of the following conditions must satisfied:
A) having too little variance within the group
B) having too little between group variation compared to within group variation
C) having too little variation within the 5% zone of rejection
D) having no variation within the 5% zone of rejection

Question

Quizplus · Accepted Answer

When using a between-subjects t-test, the null hypothesis assumes that there is no significant difference between the means of two groups. Therefore, to accept the null hypothesis, there should be little between-group variation compared to within-group variation. This can be assessed by calculating the F-statistic, which is the ratio of between-group variance to within-group variance. If this ratio is small, it suggests that most of the variability is accounted for by within-group variation, and the null hypothesis should be accepted. Option A is incorrect because too little variance within the group is not necessary for accepting the null hypothesis. Option C is also incorrect since the 5% zone of rejection refers to the critical value where it is improbable to obtain the observed test statistic if the null hypothesis is true, and is not related to variation within the data. Option D is incorrect because if there is no variation within the 5% zone of rejection, it suggests that the null hypothesis is false, and the alternative hypothesis should be accepted instead.

To Accept the Null Hypothesis When Using a Between-Subjects T-Test