Problem 15BSC

Gender-Selection Method As of this writing, the latest results available from the Microsort YSORT method of gender selection consist of 127 boys in 152 births. That is, among 152 sets of parents using the YSORT method for increasing the likelihood of a boy, 127 actually had boys and the other 25 had girls. Assuming that the YSORT method has no effect and that boys and girls are equally likely, simulate 152 births. Is it unlikely to get 127 boys in 152 births? What does the result suggest about the YSORT method?

Solution 15BSC

The sum of 1’s is 79. When repeated above simulation 20 times, following are the results

79, 91, 73, 78, 72, 75, 76, 77, 74, 82, 83, 69, 78, 79, 75, 85, 76, 79, 71, 72

In the 20 simulation processes, we did not get 127 boys out of 152 babies born. So it seems unlikely to get 127 boys out of 152 births. From the results it seems that the YSORT method is effective.