- Check the conditions for normal approximation of a sampling distribution of a sample proportion.
- Use the normal distribution to calculate probabilities and percentiles from a sampling distribution.
- Find the sample size needed for a sampling distribution to have a desired standard deviation.
Probabilities of Sampling Distribution of a Sample Proportion
If a normal model is a good fit for a sampling distribution, we can apply the empirical rule and use [latex]z[/latex]-scores to determine probabilities. We can also use the statistical tool below to help us find probabilities.