Chapter 11, Problem 82CP

Multiple response variables Each subject in a sample of 100 men and 100 women is asked to indicate which of the following factors (one or more) are responsible for increases in crime committed by teenagers: A–the increasing gap in income between the rich and poor, B–the increase in the percentage of single-parent families, C–insufficient time that parents spend with their children. To analyze whether responses differ by gender of respondent, we cross-classify the responses by gender, as the table shows.

1. a. Is it valid to apply the chi-squared test of independence to these data? Explain.
2. b. Explain how this table actually provides information needed to cross-classify gender with each of three variables. Construct the contingency table relating gender to opinion about whether factor A is responsible for increases in teenage crime.