Is ultrasound a reliable method for determining the gender of an unborn baby? Th

Question

Is ultrasound a reliable method for determining the gender of an unborn baby? There is accompanying data on 1000 births in the table below.

(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) Based on your answers to Parts (a) and (b), do you think ultrasound is equally reliable for predicting gender for boys and for girls?

Ultrasound appears to be more reliable in predicting girlsUltrasound is equally reliable in predicting boys and girls    Ultrasound appears to be more reliable in predicting boys

Explanation / Answer

(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.

Ans: 439/(439+132) = 0.769

(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.

Ans: 382/(382+47) = 0.890

c) Ultrasound appears to be more reliable in predicting boys as it predicted about males 89% right than for girls which was about 77%.

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