A gender-selection technique is designed to increase the likelihood that a baby will be a girl. In the results of the gender-selection technique,
951951
births consisted of
485485
baby girls and
466466
baby boys. In analyzing these results, assume that boys and girls are equally likely.
a. Find the probability of getting exactly
485485
girls in
951951
births.
b. Find the probability of getting
485485
or more girls in
951951
births. If boys and girls are equally likely, is
485485
girls in
951951
births unusually high?
c. Which probability is relevant for trying to determine whether the technique is effective: the result from part (a) or the result from part (b)?
d. Based on the results, does it appear that the gender-selection technique is effective?
a) P(Exactly 485 girls out of 981)
= binom.dist(485, 981, 0.5, False) [Excel Formula]
= 0.0239
b) P(485 girls or more)
= 1 - binom.dist(484, 981, 0.5, True) [Excel Formula]
= 0.6492
c) The result in part b) is more relevant.
d) It doesn't appear that gender selection technique is effective because getting 485 or more girls out of 981 births is not an unusual event.
A gender-selection technique is designed to increase the likelihood that a baby will be a girl. ...
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