Cheat Sheet for Hypothesis Tests
Steps:
1. State null and alternate hypotheses (Ho includes the equal sign, Ha does not)
2. State the significance level,
3. Determine the critical value (use the appropriate table)
4. Determine the Test Statistic (use table below for the correct formula)
5. Sketch distribution and mark the rejection regions and test statistic
6. Make a decision (if z, t, is in the rejection region, reject Ho. Otherwise fail to reject Ho)
7. Interpret the decision in the context of the original claim.
Test for
Sample
Statistic
Test Statistic
Rejection region
p-value
Use When
One population
mean,
√
Z-Test
is known
One population
mean,
√
T-Test
is unknown
One population
proportion, p
√
1-PropZTest
One population
standard
deviation,
( )
Test
X is normal
Difference of two
population means
( )
( ) ( )
√
2-SampZTest
are known
Difference of two
population means
( )
( ) ( )
√
2-SampTest
are
unknown
(
)
(
)
(
)
Difference
between two
means
(dependent
samples)
√
TTest
are
unknown
Difference of two
proportions
( )
( ) ( )
√ ( )
2-PropZtest
