# Hypothesis testing. Test statistic = Critical value?

• Apr 17th 2008, 08:07 AM
glennmarclee
Hypothesis testing. Test statistic = Critical value?
Hi, would appreciate if anyone could answer this for me. Can't seem to find a solid answer in my textbooks.

1) What are the chances that a test statistic "z" or "t" value could equal the critical value.

2) If this is possible, do you accept or reject the null hypothesis then?

Thanks a billion in advance!

Best regards,
Glenn
• Apr 17th 2008, 10:34 AM
heathrowjohnny
Usually if your test statistic is equaled to the critical value, you would reject the null hypothesis.

So your rejection region is usually in the form: $z \leq -z_{\alpha/2}, \ z \geq z_{\alpha/2}$ and $t \leq -t_{\alpha/2, n-1} \ t \geq t_{\alpha/2, n-1}$ (for a two tailed test).
• Apr 17th 2008, 10:41 AM
glennmarclee
Thanks Johnny!