Is ultrasound a reliable method for determining the gender

Chapter 0, Problem 6.33

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Is ultrasound a reliable method for determining the gender of an unborn baby? The accompanying data on1000 births are consistent with summary values that appearedin the online version of the Journal of StatisticsEducation (New Approaches to Learning Probability inthe First Statistics Course [2001]).Ultrasound UltrasoundPredicted PredictedFemale MaleActual Gender IsFemale 432 48Actual Gender IsMale 130 390a. Use the given information to estimate the probabilitythat a newborn baby is female, given that the ultrasoundpredicted the baby would be female.b. Use the given information to estimate the probabilitythat a newborn baby is male, given that the ultrasoundpredicted the baby would be male.c. Based on your answers to Parts (a) and (b), do youthink ultrasound is equally reliable for predicting genderfor boys and for girls? Explain.

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