A clinical trial tests a method designed to increase the probability of conceiving a girl. In the study 375 babies were born, and 300 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? < p< (Round to three decimal places as needed.)

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**Clinical Trial Analysis on the Probability of Conceiving a Girl**

**Context:**
A clinical trial tests a method designed to increase the probability of conceiving a girl. In the study, 375 babies were born, and 300 of them were girls. 

Based on the given data, utilize the sample data to construct a 99% confidence interval estimate of the percentage of girls born. Determine if the method appears to be effective.

**Step-by-Step Instruction:**
1. Identify sample proportion (\( \hat{p} \)):
   \[
   \hat{p} = \frac{\text{Number of girls}}{\text{Total number of babies}} = \frac{300}{375}
   \]
2. Convert into decimal form.
3. Use the sample proportion to calculate the confidence interval using the formula for calculating the margin of error.
4. Construct the 99% confidence interval based on the sample proportion.

**Question:**
Does \( p > 0.5 \)? (Round to three decimal places as needed.)

**Input Section:**
- Users should enter their answer in the provided text field and then click 'Check Answer.'

**Explanation of Graph/Diagram:**
There are no graphs or diagrams to illustrate in this context. The primary focus is on numerical calculation and interval estimation based on given proportions. 

This exercise aims to practice fundamental statistical concepts applied in real-life clinical trials, such as confidence interval estimation and hypothesis testing.
Transcribed Image Text:**Clinical Trial Analysis on the Probability of Conceiving a Girl** **Context:** A clinical trial tests a method designed to increase the probability of conceiving a girl. In the study, 375 babies were born, and 300 of them were girls. Based on the given data, utilize the sample data to construct a 99% confidence interval estimate of the percentage of girls born. Determine if the method appears to be effective. **Step-by-Step Instruction:** 1. Identify sample proportion (\( \hat{p} \)): \[ \hat{p} = \frac{\text{Number of girls}}{\text{Total number of babies}} = \frac{300}{375} \] 2. Convert into decimal form. 3. Use the sample proportion to calculate the confidence interval using the formula for calculating the margin of error. 4. Construct the 99% confidence interval based on the sample proportion. **Question:** Does \( p > 0.5 \)? (Round to three decimal places as needed.) **Input Section:** - Users should enter their answer in the provided text field and then click 'Check Answer.' **Explanation of Graph/Diagram:** There are no graphs or diagrams to illustrate in this context. The primary focus is on numerical calculation and interval estimation based on given proportions. This exercise aims to practice fundamental statistical concepts applied in real-life clinical trials, such as confidence interval estimation and hypothesis testing.
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