The First Large-Scale Study of the Human Sex Ratio Involved

question 13

Essay

The first large-scale study of the human sex ratio involved over 6,000 families each having 12 children. (This was done in 19th Century Germany--large families were more common then and there.) 52% of the children they observed were boys. Suppose that 21st Century researchers wish to replicate this observational study. In order to see if this proportion of boys might have changed in the intervening years, suppose the researchers track down 50 families with 12 children. From these 600 children, a random sample of 50 children is taken. 30 of the 50 children were boys ( = 0.6.)a)Show that it is reasonable to approximate the sampling distribution of using a normal distribution.
b)If the modern true population proportion of newborn boys is p = 0.52, what is the probability of observing a sample proportion of at least = 0.6?

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Definitions:

Aversions

A strong dislike or disinclination towards something, often causing someone to avoid it.

Preceded by Tone

Describes a situation or condition that is announced, signalled, or introduced by an auditory signal or sound.

Shock

Shock is a critical medical condition resulting from inadequate blood flow to the body’s tissues and organs, leading to organ failure and potentially life-threatening outcomes.

React with Fear

To respond to a situation or stimulus with a feeling of anxiety or dread, often as a means of protection or avoidance.