1. AP Statistics
Chapter 12 Notes

2. One – sample t-test
When you do not have σ, you must use a t-test rather than a z-test.
One-sample t-test 
Be sure to check if the test is one or two sided.
Use the t-distribution table to estimate the p-value or find it exactly using the calculator.

3. Reminders
In a matched pairs design, the parameter you are testing is the difference between treatments. In this case, it is called a paired t-test.
Always check to make sure conditions are met. You may be required to analyze Type I and Type II errors as well.
*Remember: t procedures are robust against non-Normality except for when there are outliers or strong skew.

4. Test for proportions
Remember the formula for a confidence interval for proportions.
When performing a significance test, we will calculate standard error using the value for p specified in the null hypothesis.

5. One proportion z-test *Remember the Normality condition* H0: p = p0
Ha: p ≠ > or < p0