Is ultrasound a reliable method for determining the gender of an unborn baby? There is accompanying data on 1000 births in the table below. Ultrasound
Predicted
FemaleUltrasound
Predicted
Male
Actual Gender Is
Female43248
Actual Gender Is
Male130390
(a) Use the given information to estimate the probability that a newborn baby is female, given that the ultrasound predicted the baby would be female. (Give the answer to three decimal places.)
(b) Use the given information to estimate the probability that a newborn baby is male, given that the ultrasound predicted the baby would be male. (Give the answer to three decimal places.)
(c)We interpret reliability of ultrasound method as a probability that ultrasound prediction is correct. Based on your answers to the part 1(a), do you think ultrasound is equally reliable for predicting gender for boys and for girls?
There are 2 options.
A: Ultrasound appears to be more reliable in predicting girls because P(correct prediction for girls) > P(correct prediction for boys)
B: Ultrasound appears to be more reliable in predicting boys because P(newborn is female | prediction is female) < P(newborn is male | prediction is male)