**There are three possible pairs of null and alternative hypotheses**

The **null hypothesis** (denoted ) is a statement about the population statistic, such as .

The **alternate hypothesis** (denoted ) is a claim to be tested.

There are three ways to set up a the null and alternate hypothesis.

- Equal hypothesis verses not equal hypothesis
**(two-tailed test)**

: = some value

: ?some value - Equal hypothesis verses less than hypothesis
**(left-tailed test)**

: = some value

: some value - Equal hypothesis verses greater than hypothesis
**(right-tailed test)**

: = some value

: some value