A survey was conducted to find if modern young people want to have many children. 402 young men were asked if they want to have more than one child. 5 of them answered "Yes". Calculate the margin of error for this survey. Round the percentage to one decimal place. Do not round intermediate steps. If 51% of 402 young men want to have more than one child, the margin of error is % .
A survey was conducted to find if modern young people want to have many children. 402 young men were asked if they want to have more than one child. 5 of them answered "Yes". Calculate the margin of error for this survey. Round the percentage to one decimal place. Do not round intermediate steps. If 51% of 402 young men want to have more than one child, the margin of error is % .
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![### Survey on Family Planning Preferences Among Young Men
A survey was conducted to determine if modern young people want to have many children. A sample of 402 young men were asked if they want to have more than one child. The results indicated that 51% of them answered "Yes".
**Task: Calculate the Margin of Error**
To find the margin of error for this survey, follow these guidelines:
1. **Round the percentage to one decimal place**. Ensure no intermediate steps are rounded.
2. **Formula for Margin of Error (MOE)** for a proportion:
\[
\text{MOE} = Z \times \sqrt{\frac{p(1 - p)}{n}}
\]
where:
- \( Z \) is the Z-score (typically 1.96 for a 95% confidence level),
- \( p \) is the sample proportion (0.51 in this case),
- \( n \) is the sample size (402 in this case).
Insert your calculated margin of error in the provided box. The display includes:
- A text box to input your answer in percentage (%).
- \( \times \) and \( \curvearrowleft \) buttons presumably for submitting the answer and for resetting.
**Example Calculation**
If 51% of 402 young men want to have more than one child, the margin of error is \(\square\)%.
For a precise margin of error, refer to the formula provided, ensuring accurate computations and proper rounding as specified.
---
For any queries or detailed step-by-step calculations, please reach out to the educational support team.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F176f32ac-c9e1-4f00-8dba-82b002b2f053%2Fe2633313-499c-4b10-97b0-90451d29db88%2Fpo5r8rr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Survey on Family Planning Preferences Among Young Men
A survey was conducted to determine if modern young people want to have many children. A sample of 402 young men were asked if they want to have more than one child. The results indicated that 51% of them answered "Yes".
**Task: Calculate the Margin of Error**
To find the margin of error for this survey, follow these guidelines:
1. **Round the percentage to one decimal place**. Ensure no intermediate steps are rounded.
2. **Formula for Margin of Error (MOE)** for a proportion:
\[
\text{MOE} = Z \times \sqrt{\frac{p(1 - p)}{n}}
\]
where:
- \( Z \) is the Z-score (typically 1.96 for a 95% confidence level),
- \( p \) is the sample proportion (0.51 in this case),
- \( n \) is the sample size (402 in this case).
Insert your calculated margin of error in the provided box. The display includes:
- A text box to input your answer in percentage (%).
- \( \times \) and \( \curvearrowleft \) buttons presumably for submitting the answer and for resetting.
**Example Calculation**
If 51% of 402 young men want to have more than one child, the margin of error is \(\square\)%.
For a precise margin of error, refer to the formula provided, ensuring accurate computations and proper rounding as specified.
---
For any queries or detailed step-by-step calculations, please reach out to the educational support team.
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