Fix the roads! ~ The Township Board of Meridian Township wants to know how much public support there is for raising property taxes to fix and maintain the roads in the township. They randomly surveyed Township residents and calculated a 99% confidence interval for the actual proportion of Meridian Township residents who are in favor of the tax increase to be (0.59, 0.61). 1. What is the sample proportion? Give the exact answer as a decimal. p = 0.6 2. Which of the following statements must be true? OA. A 95% confidence interval calculated using the same survey data will include fewer plausible values for the population proportion. OB. If a different sample of 470 residents were to be selected, then there is a 99% chance that the new sample proportion will be between 0.59 and 0,61 OC. If the sample size had instead been 940 residents, then the 99% confidence interval would be half as wide as the one stated above. 3. What is the margin of error for this confidence interval? Give the exact answer as a decimal.
Fix the roads! ~ The Township Board of Meridian Township wants to know how much public support there is for raising property taxes to fix and maintain the roads in the township. They randomly surveyed Township residents and calculated a 99% confidence interval for the actual proportion of Meridian Township residents who are in favor of the tax increase to be (0.59, 0.61). 1. What is the sample proportion? Give the exact answer as a decimal. p = 0.6 2. Which of the following statements must be true? OA. A 95% confidence interval calculated using the same survey data will include fewer plausible values for the population proportion. OB. If a different sample of 470 residents were to be selected, then there is a 99% chance that the new sample proportion will be between 0.59 and 0,61 OC. If the sample size had instead been 940 residents, then the 99% confidence interval would be half as wide as the one stated above. 3. What is the margin of error for this confidence interval? Give the exact answer as a decimal.
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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I need help with question 3 plz.
![**Fix the Roads!**
The Township Board of Meridian Township wants to know how much public support there is for raising property taxes to fix and maintain the roads in the township. They randomly surveyed Township residents and calculated a 99% confidence interval for the actual proportion of Meridian Township residents who are in favor of the tax increase to be (0.59, 0.61).
**1. What is the sample proportion? Give the exact answer as a decimal.**
\[ \hat{p} = 0.6 \]
**2. Which of the following statements must be true?**
\( \textcolor{blue}{\text{A. A 95% confidence interval calculated using the same survey data will include fewer plausible values for the population proportion.}} \)
B. If a different sample of 470 residents were to be selected, then there is a 99% chance that the new sample proportion will be between 0.59 and 0.61
C. If the sample size had instead been 940 residents, then the 99% confidence interval would be half as wide as the one stated above.
**3. What is the margin of error for this confidence interval? Give the exact answer as a decimal.**
\[ ME = 0.2 \]
**4. What is the standard error for this confidence interval? Round your answer to 4 decimal places.**
\[ SE_{\hat{p}} = 0.003882 \]
**5. What is the 90% confidence interval using the same survey data?**
\[ (0.5936, 0.6064) \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9a233757-ff48-478f-9071-7d7d23b994ff%2F9892b471-8d57-4815-b012-f47068786e1b%2F8hbr5l_processed.png&w=3840&q=75)
Transcribed Image Text:**Fix the Roads!**
The Township Board of Meridian Township wants to know how much public support there is for raising property taxes to fix and maintain the roads in the township. They randomly surveyed Township residents and calculated a 99% confidence interval for the actual proportion of Meridian Township residents who are in favor of the tax increase to be (0.59, 0.61).
**1. What is the sample proportion? Give the exact answer as a decimal.**
\[ \hat{p} = 0.6 \]
**2. Which of the following statements must be true?**
\( \textcolor{blue}{\text{A. A 95% confidence interval calculated using the same survey data will include fewer plausible values for the population proportion.}} \)
B. If a different sample of 470 residents were to be selected, then there is a 99% chance that the new sample proportion will be between 0.59 and 0.61
C. If the sample size had instead been 940 residents, then the 99% confidence interval would be half as wide as the one stated above.
**3. What is the margin of error for this confidence interval? Give the exact answer as a decimal.**
\[ ME = 0.2 \]
**4. What is the standard error for this confidence interval? Round your answer to 4 decimal places.**
\[ SE_{\hat{p}} = 0.003882 \]
**5. What is the 90% confidence interval using the same survey data?**
\[ (0.5936, 0.6064) \]
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