In: Statistics and Probability
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, 964 births consisted of 504 baby girls and 460 baby boys. In analyzing these results, assume that boys and girls are equally likely.
a. Find the probability of getting exactly 504 girls in 964 births.
b. Find the probability of getting 504 or more girls in 964 births. If boys and girls are equally likely, is 504 girls in 964 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?