### MATH110 Problem Set 04#### Problem 2Use the given data to find the minimum sample size required to estimate the population proportion.(a) **Parameters:**- Margin of Error: 0.04- Confidence Level: 95%- Estimated Proportion (\(\hat{p}\)): 0.64(b) **Parameters:**- Margin of Error: 0.006- Confidence Level: 95%- Estimated Proportion (\(\hat{p}\)) and Complement (\(\hat{q}\)) are unknown#### Problem 3Use the given degree of confidence and sample data to construct a confidence interval for the population mean \(\mu\). Assume that the population has a normal distribution. **MATH110 Problem Set 04**1) Construct a confidence interval for the population proportion \( p \).- \( n = 144 \)- \( x = 86 \)- 90% confidence**Explanation:**This problem asks you to construct a confidence interval for the population proportion \( p \). Given:- \( n = 144 \): the sample size.- \( x = 86 \): the number of successes in the sample.- A confidence level of 90%.To solve this, you will calculate the sample proportion \( \hat{p} = \frac{x}{n} \) and use the standard error to construct the confidence interval. The formula for a confidence interval at a 90% confidence level is:\[ \hat{p} \pm Z \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}} \]where \( Z \) is the Z-score corresponding to the desired confidence level.

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Description: ### MATH110 Problem Set 04#### Problem 2Use the given data to find the minimum sample size required to estimate the population proportion.(a) **Parameters:**- Margin of Error: 0.04- Confidence Level: 95%- Estimated Proportion (\(\hat{p}\)): 0.64(b)

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2) Use the given data to find the minimum sample size required to estimate the population proportion. (a) Margin of error: 0.04, confidence level: 95%, p = 0.64 (b) Margin of error: 0.006, confidence level: 95%, § and ĝ are unknown

2) Use the given data to find the minimum sample size required to estimate the population proportion. (a) Margin of error: 0.04, confidence level: 95%, p = 0.64 (b) Margin of error: 0.006, confidence level: 95%, § and ĝ are unknown

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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