Chapter 14

What does a frequency table display? What does a contingency table display?

What does a goodness-of-fit test assess?

What does a test-for-independence assess?

Compute the expected frequencies for the following contingency table: $$ \begin{array}{lcc} & \text { Category A } & \text { Category B } \\ \hline \text { Category C } & 22 & 38 \\ \text { Category D } & 16 & 14 \\ \hline \end{array} $$

Test significance and find effect sizes (if significant) for the following tests: 1\. \(N=19, R=3, C=2, \chi 2(2)=7.89, \alpha=.05\) 2\. \(N=12, R=2, C=2, \chi 2(1)=3.12, \alpha=.05\) 3\. \(N=74, R=3, C=3, \chi 2(4)=28.41, \alpha=.01\)

You hear a lot of people claim that The Empire Strikes Back is the best movie in the original Star Wars trilogy, and you decide to collect some data to demonstrate this empirically (pun intended). You ask 48 people which of the original movies they liked best; 8 said A New Hope was their favorite, 23 said The Empire Strikes Back was their favorite, and 17 said Return of the Jedi was their favorite. Perform a chi-square test on these data at the 05 level of significance.