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, 830 births consisted of 425 baby girls and 405 baby boys. In analyzing these results, assume that boys and girls are equally likely. a. Find the probability of getting exactly 425 girls in 830 births. b. Find the probability of getting 425 or more girls in 830 births. If boys and girls are equally likely, is 425 girls in 830 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 425 girls in 830 births is. (Round to four decimal places as needed.) b. The probability of getting 425 or more girls in 830 births is. (Round to four decimal places as needed.) If boys and girls are equally likely, is 425 girls in 830 births unusually high? O A. Yes, because 425 girls in 830 births is far from what is expected, given the probability of having a girl or a boy. O B. No, because 425 girls in 830 births is far from what is expected, given the probability of having a girl or a boy. O C. Yes, because 425 girls in 830 births is not far from what is expected, given the probability of having a girl or a boy. O D. No, because 425 girls in 830 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 results from part (a) and part (b) are equal, so they are equally relevant. O B. 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. O C. 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 D. Neither of the results are relevant. d. Based on the results, does it appear that the gender-selection technique is effective? Click to select your answer(s). d. Based on the results, does it appear that the gender-selection technique is effective? O A. Yes, because the probability of having 425 or more girls in 830 births is unlikely, and thus, is not attributable to random chance. O B. Yes, because the probability of having 425 or more girls in 830 births is not unlikely, and thus, is not attributable to random chance. Oc. No, because the probability of having 425 or more girls in 830 births is unlikely, and thus, is attributable to random chance. D. No, because the probability of having 425 or more girls in 830 births is not unlikely, and thus, is attributable to random chance.

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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, 830 births consisted of 425 baby girls and 405 baby boys. In analyzing these results,
assume that boys and girls are equally likely.
a. Find the probability of getting exactly 425 girls in 830 births.
b. Find the probability of getting 425 or more girls in 830 births. If boys and girls are equally likely, is 425 girls in
830 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 425 girls in 830 births is.
(Round to four decimal places as needed.)
b. The probability of getting 425 or more girls in 830 births is.
(Round to four decimal places as needed.)
If boys and girls are equally likely, is 425 girls in 830 births unusually high?
O A. Yes, because 425 girls in 830 births is far from what is expected, given the probability of having a girl or a
boy.
O B. No, because 425 girls in 830 births is far from what is expected, given the probability of having a girl or a
boy.
O C. Yes, because 425 girls in 830 births is not far from what is expected, given the probability of having a girl or
a boy.
O D. No, because 425 girls in 830 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 results from part (a) and part (b) are equal, so they are equally relevant.
O B. 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.
O C. 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 D. Neither of the results are relevant.
d. Based on the results, does it appear that the gender-selection technique is effective?
Click to select your answer(s).
d. Based on the results, does it appear that the gender-selection technique is effective?
O A. Yes, because the probability of having 425 or more girls in 830 births is unlikely, and thus,
is not attributable to random chance.
O B. Yes, because the probability of having 425 or more girls in 830 births is not unlikely, and thus,
is not attributable to random chance.
Oc. No, because the probability of having 425 or more girls in 830 births is unlikely, and thus, is attributable to
random chance.
D. No, because the probability of having 425 or more girls in 830 births is not unlikely, and thus,
is attributable to random chance.
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, 830 births consisted of 425 baby girls and 405 baby boys. In analyzing these results, assume that boys and girls are equally likely. a. Find the probability of getting exactly 425 girls in 830 births. b. Find the probability of getting 425 or more girls in 830 births. If boys and girls are equally likely, is 425 girls in 830 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 425 girls in 830 births is. (Round to four decimal places as needed.) b. The probability of getting 425 or more girls in 830 births is. (Round to four decimal places as needed.) If boys and girls are equally likely, is 425 girls in 830 births unusually high? O A. Yes, because 425 girls in 830 births is far from what is expected, given the probability of having a girl or a boy. O B. No, because 425 girls in 830 births is far from what is expected, given the probability of having a girl or a boy. O C. Yes, because 425 girls in 830 births is not far from what is expected, given the probability of having a girl or a boy. O D. No, because 425 girls in 830 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 results from part (a) and part (b) are equal, so they are equally relevant. O B. 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. O C. 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 D. Neither of the results are relevant. d. Based on the results, does it appear that the gender-selection technique is effective? Click to select your answer(s). d. Based on the results, does it appear that the gender-selection technique is effective? O A. Yes, because the probability of having 425 or more girls in 830 births is unlikely, and thus, is not attributable to random chance. O B. Yes, because the probability of having 425 or more girls in 830 births is not unlikely, and thus, is not attributable to random chance. Oc. No, because the probability of having 425 or more girls in 830 births is unlikely, and thus, is attributable to random chance. D. No, because the probability of having 425 or more girls in 830 births is not unlikely, and thus, is attributable to random chance.
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