Tag hypothesis

\(z\) Tests and Confidence Intervals for a Difference Between Two Population Means

Motivation Suppose you have a population with known \(\mu\) and \(\sigma\). You then take a sample (perhaps not randomly) and discover...

Poisson Distribution Tests

For a Poission distribution with large \(n\), use \(Z=\frac{\bar{X}-\lambda}{\sqrt{\lambda/n}}\) (i.e. \(\lambda\) instead of \(S\)). It...

Some Comments on Selecting a Test Procedure

Things you should think about: What are the implications of your choice of \(\alpha\)? How much did intuition play a role in deciding...

p-Values

The p-value is the smallest significance level (i.e. \(\alpha\)) at which \(H_{0}\) would be rejected. So if \(p\le\alpha'\), you reject...

Tests Concerning a Population Proportion

Let \(X\) be the number of successes. If \(n<

Tests About a Population Mean

Steps to Carry Out The Experiment Identify the parameter of interest. Determine the null value and state the null hypothesis. State the...

Hypotheses and Test Procedures

The null hypothesis (\(H_{0}\)) vs the alternative hypothesis (\(H_{a}\)): The null hypothesis is assumed to be true (default). The...