Out of 100 people sampled, 79 had children. Based on this, construct a 99% confidence interval for the true population proportion of people with children. Preliminary: a. Is it safe to assume thatn< 5% of all people with children? O Yes O No b. Verify np (1 – p) > 10. Round your answer to one decimal place. np(1 - p) = Confidence Interval: What is the 99% confidence interval to estimate the population proportion? Round your answer to three decimal places.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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**Question 4**

Out of 100 people sampled, 79 had children. Based on this, construct a 99% confidence interval for the true population proportion of people with children.

**Preliminary:**

a. Is it safe to assume that \( n \leq 5\% \) of all people with children?
- [ ] Yes
- [ ] No

b. Verify \( n \hat{p} (1 - \hat{p}) \geq 10 \). Round your answer to one decimal place.

\( n \hat{p} (1 - \hat{p}) = \) [____________]

**Confidence Interval:** What is the 99% confidence interval to estimate the population proportion? *Round your answer to three decimal places.*

[__________] < \( p \) < [__________]

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Transcribed Image Text:**Question 4** Out of 100 people sampled, 79 had children. Based on this, construct a 99% confidence interval for the true population proportion of people with children. **Preliminary:** a. Is it safe to assume that \( n \leq 5\% \) of all people with children? - [ ] Yes - [ ] No b. Verify \( n \hat{p} (1 - \hat{p}) \geq 10 \). Round your answer to one decimal place. \( n \hat{p} (1 - \hat{p}) = \) [____________] **Confidence Interval:** What is the 99% confidence interval to estimate the population proportion? *Round your answer to three decimal places.* [__________] < \( p \) < [__________] **Submit Question**
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