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, 954 births consisted of 480 baby girls and 474 baby boys. In analyzing these results, assume that boys and girls are equally likely. a. Find the probability of getting exactly 480 girls in 954 births. b. Find the probability of getting 480 or more girls in 954 births. If boys and girls are equally likely, is 480 girls in 954 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? ...

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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, 954 births consisted of 480 baby girls and 474 baby boys. In analyzing these results, assume that boys and girls are
equally likely.
a. Find the probability of getting exactly 480 girls in 954 births.
b. Find the probability of getting 480 or more girls in 954 births. If boys and girls are equally likely, is 480 girls in 954 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. The probability of getting exactly 480 girls in 954 births is
(Round to four decimal places as needed.)
954 births is
b. The probability of getting 480 or more girls
(Round to four decimal places as needed.)
If boys and girls are equally likely, is 480 girls in 954 births unusually high?
O A. No, because 480 girls in 954 births is far from what is expected, given the probability of having a girl or a boy.
O B. No, because 480 girls in 954 births is not far from what is expected, given the probability of having a girl or a boy.
OC. Yes, because 480 girls in 954 births is far from what is expected, given the probability of having a girl or a boy.
O D. Yes, because 480 girls in 954 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)?
O A. The result from part (a) is more relevant, because one wants the probability of a result that is exactly equal to the one obtained.
O B. The results from part (a) and part (b) are equal, so they are equally relevant.
Oc. Neither of the results are relevant.
O D. 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.
Transcribed Image Text: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, 954 births consisted of 480 baby girls and 474 baby boys. In analyzing these results, assume that boys and girls are equally likely. a. Find the probability of getting exactly 480 girls in 954 births. b. Find the probability of getting 480 or more girls in 954 births. If boys and girls are equally likely, is 480 girls in 954 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. The probability of getting exactly 480 girls in 954 births is (Round to four decimal places as needed.) 954 births is b. The probability of getting 480 or more girls (Round to four decimal places as needed.) If boys and girls are equally likely, is 480 girls in 954 births unusually high? O A. No, because 480 girls in 954 births is far from what is expected, given the probability of having a girl or a boy. O B. No, because 480 girls in 954 births is not far from what is expected, given the probability of having a girl or a boy. OC. Yes, because 480 girls in 954 births is far from what is expected, given the probability of having a girl or a boy. O D. Yes, because 480 girls in 954 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)? O A. The result from part (a) is more relevant, because one wants the probability of a result that is exactly equal to the one obtained. O B. The results from part (a) and part (b) are equal, so they are equally relevant. Oc. Neither of the results are relevant. O D. 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. Based on the results, does it appear that the gender-selection technique is effective?
O A. Yes, because the probability of having 480 or more girls in 954 births is unlikely, and thus, is not attributable to random chance.
O B. No, because the probability of having 480 or more girls in 954 births is unlikely, and thus, is attributable to random chance.
O C. No, because the probability of having 480 or more girls in 954 births is not unlikely, and thus, is attributable to random chance.
O D. Yes, because the probability of having 480 or more girls in 954 births is not unlikely, and thus, is not attributable to random chance.
Transcribed Image Text:d. Based on the results, does it appear that the gender-selection technique is effective? O A. Yes, because the probability of having 480 or more girls in 954 births is unlikely, and thus, is not attributable to random chance. O B. No, because the probability of having 480 or more girls in 954 births is unlikely, and thus, is attributable to random chance. O C. No, because the probability of having 480 or more girls in 954 births is not unlikely, and thus, is attributable to random chance. O D. Yes, because the probability of having 480 or more girls in 954 births is not unlikely, and thus, is not attributable to random chance.
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