A sociologist is studying many aspects of personal lives of preeminent 19^{th} century scholars. A total of 120 of scholars in her sample had families consisting of two children. The distribution of number of boys in those families is summarized in following table. Can it be concluded that, X, the number of boys in two-child families of preeminent scholars, is binomially distributed? Let α=0.05.
Number of Boys |
0 |
1 |
2 |
Number of Families |
24 |
64 |
32 |