Survey of 115 families chosen at random, having 5 children it was observed that the distribution was as follows
The 5 children are girls is 6
There is one boy and four girls is 18
There are two boys and three girls is 35
There are three boys and two girls is 30
There are four boys and one girl is 16
The five children are boys is 10
Question
Is there a significance difference between the observed frequency distribution and the binomial distribution with n =5 and p=0.05
Does the distribution follow a binomial propability distribution or there is something other than random variability causing the differences in the outcomes?