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
some value 
some value 
