Section 10.3:

For each of the following problems, use Minitab to compute the test statistic and \(P\)-value as we did in class. You do not need to compute the test statistics by hand.

You should:

1. Print the session window.
2. Annotate the printout with the null and alternative hypotheses.
3. Test the null hypothesis using the \(P\)-value reported by Minitab for the Pearson \(\chi^{2}\) test.
4. State your conclusion in terms of the original claim. Do not just state 'reject' / 'do not reject'.

For a refresher on how to test for association using a contingency table, see this Minitab documentation.

Note: The questions below state the claim in terms of (statistical) independence, which is the opposite of association. In statistics jargon, two random variables are associated if they are not independent. So you can test for association by testing against independence.

12, 13, 14, 16