In: Statistics and Probability
Noonan syndrome is a genetic condition that can affect the heart, growth, blood clotting, and mental and physical development. Noonan et al. examined the stature of men and women with Noonan syndrome. The study contained 29 male and 44 female adults. One of the cut-off values used to assess the stature was the third percentile of adult height. 24 of the females fell below the third percentile of female adult height and 11 of the males fell below the third percentile of adult male height.
a) Present the information and the data given in the problem in a 2 x 2 contingency table format.
b) What are the two categorical variables involved in this study?
c) Can the two categorical variables involved in this study be tested for independence (no association)? Why or why not?
d) Can the proportion of males who fall below their respective third percentile adult height and the proportion of females who fall below their respective third percentile adult height be tested for their homogeneity ? Why or why not?