Birth records were collected from the first 5 births in 51,868 families to test that the gender of successive off-spring are independent.
In families with exactly 5 children, the following is a frequency distribution of male offspring.
Number of Male Offspring N
Suppose we doubt that the probability of male birth is exactly 50%, but are willing to assume that the gender of successive offspring are independent.
What is the best estimate of the probability of a male birth based on the observed data?
What is the probability of 0, 1, 2, 3, 4, and 5 male births out of 5 births based on the estimate obtained.
How do we test the hypothesis that the gender of successive offspring are independent based on the model above.