A clinical trial tests a method designed to increase the probability of conceiving a girl. In the study 320 babies were born, and 272 of them were girls. Use the sample data to construct a 99% confidence interval estimate of the percentage of girls born. Based on the result, does the method appear to be effective?
A clinical trial tests a method designed to increase the probability of conceiving a girl. In the study 320 babies were born, and 272 of them were girls. Use the sample data to construct a 99% confidence interval estimate of the percentage of girls born. Based on the result, does the method appear to be effective?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![**Clinical Trial Analysis for Gender Probability Method**
A clinical trial tests a method designed to increase the probability of conceiving a girl. In the study, 320 babies were born, and 272 of them were girls. Use the sample data to construct a 99% confidence interval estimate of the percentage of girls born. Based on the result, does the method appear to be effective?
**Confidence Interval for Population Proportion**
\[ \underline{\hspace{2cm}} < p < \underline{\hspace{2cm}} \]
*(Round to three decimal places as needed.)*
**Question:**
Does the method appear to be effective?
- [ ] No, the proportion of girls is not significantly different from 0.5.
- [ ] Yes, the proportion of girls is significantly different from 0.5.
**Explanation:**
To address the question, we need to determine if the proportion of girls (\( p \)) falls significantly above or below 0.5 with the constructed confidence interval. Based on the provided data, you will calculate the 99% confidence interval for the proportion of girls and check if 0.5 falls within this interval. If it does not, the method can be considered effective. If it does, there is no significant effect of the method.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4cbada35-3122-4a6c-a25c-246bca0ae236%2F2ca558a6-2b8b-4d7d-89f8-fc4481025c70%2F8nf49ej_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Clinical Trial Analysis for Gender Probability Method**
A clinical trial tests a method designed to increase the probability of conceiving a girl. In the study, 320 babies were born, and 272 of them were girls. Use the sample data to construct a 99% confidence interval estimate of the percentage of girls born. Based on the result, does the method appear to be effective?
**Confidence Interval for Population Proportion**
\[ \underline{\hspace{2cm}} < p < \underline{\hspace{2cm}} \]
*(Round to three decimal places as needed.)*
**Question:**
Does the method appear to be effective?
- [ ] No, the proportion of girls is not significantly different from 0.5.
- [ ] Yes, the proportion of girls is significantly different from 0.5.
**Explanation:**
To address the question, we need to determine if the proportion of girls (\( p \)) falls significantly above or below 0.5 with the constructed confidence interval. Based on the provided data, you will calculate the 99% confidence interval for the proportion of girls and check if 0.5 falls within this interval. If it does not, the method can be considered effective. If it does, there is no significant effect of the method.
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