Question

Interpretation of the t-statistics in a t-test given a critical value. For example, while performing a t-test to compare two groups, you obtain a t-statistics of 3.56 If th e critical value is 3.1, do you reject or accept the null hypothesis? Based on this information, are the groups the same or different on the average?

Answer 1

Now the decision rule in t test is if the test statistic > critical value then we reject null hypothesis . Otherwise fail to reject null hypothesis.

here test statistic = 3.56

Critical value = 3.1

Therefore test statistic > critical value

Therefore we reject the null hypothesis .

in t test

Null hypothesis Ho: All the difference are equal

Vs alternative hypothesis H1 : atleast one difference is different.

Here we reject the null hypothesis .

Therefore we conclude that the groups are different on the average .