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, 917 births consisted of 463 baby girls and 454 baby boys. In analyzing these results, assume that boys and girls are equally likely. a. Find the probability of getting exactly 463 girls in 917 births. b. Find the probability of getting 463 or more girls in 917 births. If boys and girls are equally likely, is 463 girls in 917 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 463 girls in 917 births is (Round to four decimal places as needed.) b. The probability of getting 463 or more girls in 917 births is (Round to four decimal places as needed.). If boys and girls are equally likely, is 463 girls in 917 births unusually high? OA. No, because 463 girls in 917 births is not far from what is expected, given the probability of having a girl or a boy. OB. Yes, because 463 girls in 917 births is far from what is expected, given the probability of having a girl or a boy. OC. No, because 463 girls in 917 births is far from what is expected, given the probability of having a girl or a boy. OD. Yes, because 463 girls in 917 births is not far from what is expected, given the probability of having a girl or a boy. Next

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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, 917 births consisted of 463 baby girls and 454 baby boys. In analyzing these results, assume that boys and girls are equally likely.

Questions:
- **a. Find the probability of getting exactly 463 girls in 917 births.**  
  (Round to four decimal places as needed.)

- **b. Find the probability of getting 463 or more girls in 917 births.**  
  (Round to four decimal places as needed.)

- **c. If boys and girls are equally likely, is 463 girls in 917 births unusually high?**
  - A. No, because 463 girls in 917 births is not far from what is expected, given the probability of having a girl or a boy.
  - B. Yes, because 463 girls in 917 births is far from what is expected, given the probability of having a girl or a boy.
  - C. No, because 463 girls in 917 births is far from what is expected, given the probability of having a girl or a boy.
  - D. Yes, because 463 girls in 917 births is not far from what is expected, given the probability of having a girl or a boy.

- **d. Which probability is relevant for trying to determine whether the technique is effective: the result from part (a) or the result from part (b)?**  
  Based on the results, does it appear that the gender-selection technique is effective?

(Note: This is a text-based question with multiple choice options, and there are no graphs or diagrams included.)
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, 917 births consisted of 463 baby girls and 454 baby boys. In analyzing these results, assume that boys and girls are equally likely. Questions: - **a. Find the probability of getting exactly 463 girls in 917 births.** (Round to four decimal places as needed.) - **b. Find the probability of getting 463 or more girls in 917 births.** (Round to four decimal places as needed.) - **c. If boys and girls are equally likely, is 463 girls in 917 births unusually high?** - A. No, because 463 girls in 917 births is not far from what is expected, given the probability of having a girl or a boy. - B. Yes, because 463 girls in 917 births is far from what is expected, given the probability of having a girl or a boy. - C. No, because 463 girls in 917 births is far from what is expected, given the probability of having a girl or a boy. - D. Yes, because 463 girls in 917 births is not far from what is expected, given the probability of having a girl or a boy. - **d. Which probability is relevant for trying to determine whether the technique is effective: the result from part (a) or the result from part (b)?** Based on the results, does it appear that the gender-selection technique is effective? (Note: This is a text-based question with multiple choice options, and there are no graphs or diagrams included.)
### Probability Analysis in Gender-Selection Techniques

**Question C: Relevant Probability**

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.** The result from part (a) is more relevant, because one wants the probability of a result that is exactly equal to the one obtained.
- **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.
- **C.** Neither of the results are relevant.
- **D.** The results from part (a) and part (b) are equal, so they are equally relevant.

**Question D: Effectiveness of the Gender-Selection Technique**

Based on the results, does it appear that the gender-selection technique is effective?

- **A.** No, because the probability of having 463 or more girls in 917 births is unlikely, and thus, is attributable to random chance.
- **B.** No, because the probability of having 463 or more girls in 917 births is not unlikely, and thus, is attributable to random chance.
- **C.** Yes, because the probability of having 463 or more girls in 917 births is unlikely, and thus, is not attributable to random chance.
- **D.** Yes, because the probability of having 463 or more girls in 917 births is not unlikely, and thus, is not attributable to random chance.

This analysis helps evaluate the statistical significance of the results in gender-selection studies. Selecting options depends on applied statistical tests and surrounding research context.
Transcribed Image Text:### Probability Analysis in Gender-Selection Techniques **Question C: Relevant Probability** 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.** The result from part (a) is more relevant, because one wants the probability of a result that is exactly equal to the one obtained. - **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. - **C.** Neither of the results are relevant. - **D.** The results from part (a) and part (b) are equal, so they are equally relevant. **Question D: Effectiveness of the Gender-Selection Technique** Based on the results, does it appear that the gender-selection technique is effective? - **A.** No, because the probability of having 463 or more girls in 917 births is unlikely, and thus, is attributable to random chance. - **B.** No, because the probability of having 463 or more girls in 917 births is not unlikely, and thus, is attributable to random chance. - **C.** Yes, because the probability of having 463 or more girls in 917 births is unlikely, and thus, is not attributable to random chance. - **D.** Yes, because the probability of having 463 or more girls in 917 births is not unlikely, and thus, is not attributable to random chance. This analysis helps evaluate the statistical significance of the results in gender-selection studies. Selecting options depends on applied statistical tests and surrounding research context.
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