Slove the Following: #1. If n=490 and ˆpp^ (p-hat) =0.46, find the margin of error at a 99% confidence level. Give your answer to three decimals

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Slove the Following:

#1. If n=490 and ˆpp^ (p-hat) =0.46, find the margin of error at a 99% confidence level. Give your answer to three decimals

#2. 

In a recent poll, 340 people were asked if they liked dogs, and 31% said they did. Find the margin of error of this poll, at the 95% confidence level. Give your answer to three decimals
 
#3. If n = 540 and ˆpp^ (p-hat) = 0.7, construct a 99% confidence interval.Give your answers to three decimals.
 
#4. Out of 300 people sampled, 279 had kids. Based on this, construct a 90% confidence interval for the true population proportion of people with kids. Give your answers as decimals, to three places.
 
#5. A political candidate has asked you to conduct a poll to determine what percentage of people support her.

If the candidate only wants a 4% margin of error at a 95% confidence level, what size of sample is needed? Give your answer in whole people.
 
#6.  Assume that a sample is used to estimate a population proportion p. Find the 90% confidence interval for a sample of size 293 with 103 successes. Enter your answer as an open-interval (i.e., parentheses) using decimals (not percents) accurate to three decimal places. 90% C.I. = 
 
7.  Out of 600 people sampled, 414 preferred Candidate A. Based on this estimate, what proportion (as a decimal) of the voting population (pp) prefers Candidate A? 

 

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