Question

In a one tail hypothesis test where you tehect Ho only in the lower tail what us the critical value of the Tstat test statistic w/ 26 degrees of freedom at the .01 level if significance? (Round to 4 decimal places)

Answer 1

We use the T - table to find the critical value of the T statistic.

Given data is:

Level of aignificance = 0.01

Degrees of freedom,df = 26

Now, we look at the value 0.01 for a one-tail test in the colum and df=26 in the row. The value corresponding to the intersection of these two is the required value of T statistic.

From the T table, for df=26 and significance level= 0.01 for lower one-tail test, the value of T statistic is t = -2.4790. (-ve sign because of lower tail test)

The T-table is attached below.