Motivation Suppose you have a population with known \(\mu\) and \(\sigma\). You then take a sample (perhaps not randomly) and discover...
For a Poission distribution with large \(n\), use \(Z=\frac{\bar{X}-\lambda}{\sqrt{\lambda/n}}\) (i.e. \(\lambda\) instead of \(S\)). It...
Things you should think about: What are the implications of your choice of \(\alpha\)? How much did intuition play a role in deciding...
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...
Let \(X\) be the number of successes. If \(n<
Steps to Carry Out The Experiment Identify the parameter of interest. Determine the null value and state the null hypothesis. State the...
The null hypothesis (\(H_{0}\)) vs the alternative hypothesis (\(H_{a}\)): The null hypothesis is assumed to be true (default). The...