Question

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, 819 births consisted of 429 baby girls and 390 baby boys. In analyzing these results, assume that boys and girls are equally likely. a. Find the probability of getting exactly 429 girls in 819 births. b. Find the probability of getting 429 or more girls in 819 births. If boys and girls are equally likely, is 429 girls in 819 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? C. No, because 429 girls in 819 births is far from what is expected, given the probability of having a girl or a boy. D. No, because 429 girls in 819 births is not far from what is expected, given the probability of having a girl or a boy. 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)? A. Neither of the results are relevant. B. The results from part (a) and part (b) are equal, so they are equally relevant. C. The result from part (b) is more relevant, because one wants the probability of a result that is at least as extreme as the one obtained. D. The result from part (a) is more relevant, because one wants the probability of a result that is exactly equal to the one obtained. d. Based on the results, does it appear that the gender-selection technique is effective? A. No, because the probability of having 429 or more girls in 819 births is not unlikely, and thus, is attributable to random chance. B. Yes, because the probability of having 429 or more girls in 819 births is unlikely, and thus, is not attributable to random chance. C. Yes, because the probability of having 429 or more girls in 819 births is not unlikely, and thus, is not attributable to random chance. D. No, because the probability of having 429 or more girls in 819 births is unlikely, and thus, is attributable to random chance.

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, 819 births consisted of 429 baby girls and 390 baby boys. In analyzing these results, assume that boys and girls are equally likely.
a. Find the probability of getting exactly 429 girls in 819 births.
b. Find the probability of getting 429 or more girls in 819 births. If boys and girls are equally likely, is 429 girls in 819 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?
C. No, because 429 girls in 819 births is far from what is expected, given the probability of having a girl or a boy.
D. No, because 429 girls in 819 births is not far from what is expected, given the probability of having a girl or a boy.
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)?
A. Neither of the results are relevant.
B. The results from part (a) and part (b) are equal, so they are equally relevant.
C. The result from part (b) is more relevant, because one wants the probability of a result that is at least as extreme as the one obtained.
D. The result from part (a) is more relevant, because one wants the probability of a result that is exactly equal to the one obtained.
d. Based on the results, does it appear that the gender-selection technique is effective?
A. No, because the probability of having 429 or more girls in 819 births is not unlikely, and thus, is attributable to random chance.
B. Yes, because the probability of having 429 or more girls in 819 births is unlikely, and thus, is not attributable to random chance.
C. Yes, because the probability of having 429 or more girls in 819 births is not unlikely, and thus, is not attributable to random chance.
D. No, because the probability of having 429 or more girls in 819 births is unlikely, and thus, is attributable to random chance.

Added by Cynthia S.

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