### Survey on Family Planning Preferences Among Young MenA 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.

Name: ### Survey on Family Planning Preferences Among Young MenA survey was
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Description: ### Survey on Family Planning Preferences Among Young MenA 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

It is given that sample size (n) is 402 and p hat value is 0.51.

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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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Concept explainers

2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.

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Question

### 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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