At the Food Barn, children can order from the adult menu (A) or the child's menu (C). Below is the pattern of menu orders for 24 children last Wednesday evening. A, A, A, A, C, A, A, C, C, C, A, A, A, A, A, A, C, C, C, A, C, C, C, C
Which test would you choose to see if this pattern is random?
A)Kruskal-Wallis test
B)Wilcoxon rank sum (Mann-Whitney) test
C)Wald-Wolfowitz one-sample runs test
D)Wilcoxon test

Question

Quizplus · Accepted Answer

The Wald-Wolfowitz one-sample runs test is the best choice for testing if this pattern is random. This is because it tests the null hypothesis that the sequence of menu orders is random and independent. The other tests are not appropriate for this type of data or hypothesis. The Kruskal-Wallis test is used to compare three or more groups, while the Wilcoxon rank sum and Wilcoxon tests compare two groups.

At the Food Barn, Children Can Order from the Adult