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.
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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