Left-Tailed Test

We consider that we want to find the T critical value of the left-tailed test when the critical level (q) of 0.10 and the degree of freedom (df) is 34.

Example:

Output:

The T critical value is -1.30695. When the test statistic is lesser than this value, the results of the test are statistically significant or critical.

To perform a T-test, we will get a test statistic as a result and determine whether the T-test results are statistically significant, we can compare the test statistic with the T critical value, if the absolute value of the test statistic is greater than the T critical value, then the test results are statistically significant.

T critical value can be found by using a T-distribution table or using statistical software. To find the T critical value, you need to specify the values:

• A critical level (q) (common values are 0.01, 0.05, and 0.10)
• The degrees of freedom (df)

Using these two values, you can find the T critical value to be compared with the test statistic.