When to Reject


Two-Tailed Test \(H_1:\) \(\mu\neq k\)

two-tail test

*We Reject the null hypothesis when the test statistic falls in the critical region*

*One Tailed Tests come in two flavors Right and Left-tailed.*

Left-Tailed Test \(H_1:\) \(\mu<k\)

left-tailed test

*We Reject the null hypothesis when the test statistic falls in the critical region*

Right-Tailed Test \(H_1:\) \(\mu>k\)

right-tail test

*We Reject the null hypothesis when the test statistic falls in the critical region*

Next to help you make the correct conclusions (of course I hope that by the discussion in class you can tell how to make the correct conclusions) I have provided the following table

\(H_0\) claim \(H_1\) claim
Reject \(H_0\) There IS enough evidence to reject the claim There IS enough evidence to support the claim
Do not reject \(H_0\) There IS NOT enough evidence to reject the claim  There IS NOT enough evidence to support the claim