A researcher was interested in gender differences as related to binge drinking and to drinking-related arrests. She wanted to know two things: (a) Is there a significant relationship between gender and binge drinking and (b) Is there a significant relationship between gender and drinking-related arrests? A random sample of males and females were asked about their experiences with binge drinking and with drinking-related arrests. Test for a relationship in the following data:
Experience Alcohol-related Arrest
YES NO
Male 38 23
Female 29 39
What is the calculated chi-squared value?
Using a critical value of 3.84, is there a significant relationship between gender and alcohol-related arrests?