Hypothesis Testing

Hypothesis Testing is very important in Statistics. There are many different types of hypothesis testing. The hypothesis test used is determined by the information that you are given. Several types of hypothesis tests will be demonstrated in this section. The most common tests are for population means or proportions.

z-Test for the Mean

A z-test is used when testing a hypothesis about the population mean, and the population standard deviation is known.  Majority of the time the population standard deviation will not be known, so this is the less likely of the two tests for a single mean to be used.  All tests will be performed by hand and also with the assistance of the TI-84 family and TI-nspire graphing calculators.  Both the p-value and rejection region decision rules will be used. 

z-Test for the Mean Using P-value
z-Test Using P-value TI-84
z-Test Using P-value - TI-Nspire
z-Test Using Rejection Region
Find a Critical Value z Using a Table
Find a Critical Value z Using the TI-84
Find a Critical Value z Using the TI-Nspire

t-Test for the Mean

A t-test is used when testing a hypothesis about the population mean, and only the sample standard deviation is known.  Majority of the time the population standard deviation will not be known, so this is the more likely of the two tests for a single mean to be used. All tests will be performed by hand and also with the assistance of the TI-84 family and TI-nspire graphing calculators.  Both the p-value and rejection region decision rules will be used.

t-Test Using P-Value - TI-84
t-Test Using P-Value - TI-Nspire
Finding Critical Value t Using a t-Table
Find a Critical Value t Using the TI-84
Finding Critical Value t Using TI-Nspire

1-Proportion Z-test

A 1-proportion z-test is used when testing a hypothesis about a population proportion. The 1-proportion z-test will be performed by hand and also with the assistance of the TI-84 family and TI-nspire graphing calculators.  Both the p-value and rejection region decision rules will be used.

1-Proportion Z-Test Using a Rejection Region
1-Proportion Z-Test Using a P-value - TI-84
1-Proportion Z-Test Using a P-value - TI-Nspire