Question: In a study investigating freshman weight gain, the researchers also looked at gender differences in weight (Kasparek, Corwin, Valois, Sargent, & Morris, 2008). Using self-reported heights and weights, they computed the Body Mass Index (BMI) for each student. Based on the BMI scores, the students were classified as either desirable weight or overweight. When the students were further classified by gender, the researchers found results similar to the frequencies in the following table.
Desirable Weight Overweight
Males 74 46
Females 62 18
a. Do the data indicate that the proportion of overweight men is significantly different from the proportion of overweight women? Test with α = .05.
b. Compute the phi-coefficient to measure the strength of the relationship.