A sample of n three-child families was selected from a certain community and each of them was classifies according to the gender of the children (three males and no females, two males and one female,...

A sample of n three-child families was selected from a certain community and each of them was classifies according to the gender of the children (three males and no females, two males and one female, etc.). The objective was to verify whether the probability of a male birth is one-half. Specify statistical models to answer the study question, stating the assumptions and discussing whether they are reasonable or not from a practical point of view. Identify the appropriate methods required to analyze the data, indicating whether they are exact or approximate.