Definitions: - population standard deviation
-
sample standard deviatioxn
- population proportion
- sample
proportion
- population mean
- sample mean
-
sample size or number of trials
The binomial probability distribution is as follows.
.
.
Normalizing a variable:
.
Standard deviation of the sampling distribution for the sample
mean:
.
Standard deviation of the sampling distribution for the sample
proportion when the population proportion () is known:
.
Standard deviation of the sampling distribution for the sample
proportion when the population proportion () is not known:
.
The sampling distribution for the sample proportion is normally
distributed if and
.
.
A confidence interval is always of the form: point estimate
(critical value) (standard deviation of sampling
distribution).