Question

QUESTION PART A: Express the confidence interval 23.1% <p<
30.9% 23.1% <p< 30.9% in the form of ˆp±ME.

_____% ±____ %

QUESTION PART B: A political candidate has asked you to conduct
a poll to determine what percentage of people support her.

If the candidate only wants a 10% margin of error at a 95%
confidence level, what size of sample is needed?

Give your answer in whole people.

QUESTION PART C: A political candidate has asked you to conduct
a poll to determine what percentage of people support her.

If the candidate only wants a 6% margin of error at a 95%
confidence level, what is the sample size that is needed?

Give your answer as a whole number.

Answer #1

Solution:

QUESTION PART A: Express the confidence interval 23.1% <p<
30.9% in the form of ˆp±ME.

Therefore, we have:

QUESTION PART B: A political candidate has asked you to conduct
a poll to determine what percentage of people support her.

If the candidate only wants a 10% margin of error at a 95%
confidence level, what size of sample is needed?

QUESTION PART C: A political candidate has asked you to conduct
a poll to determine what percentage of people support her.

If the candidate only wants a 6% margin of error at a 95%
confidence level, what is the sample size that is needed?

A political candidate has asked you to conduct a poll to
determine what percentage of people support her.
If the candidate only wants a 5% margin of error at a 95%
confidence level, what size of sample is needed?
Give your answer in whole people.

A political candidate has asked you to conduct a poll to
determine what percentage of people support her.
If the candidate only wants a 3% margin of error at a 95%
confidence level, what size of sample is needed?
Give your answer in whole people.

A political candidate has asked you to conduct a poll to
determine what percentage of people support her.
If the candidate only wants a 9% margin of error at a 95%
confidence level, what size of sample is needed?
Give your answer in whole people.

A political candidate has asked you to conduct a poll to
determine what percentage of people support her.
If the candidate only wants a 10% margin of error at a 90%
confidence level, what size of sample is needed?
Give your answer in whole people

A political candidate has asked you to conduct a poll to
determine what percentage of people support her.
If the candidate only wants a 8% margin of error at a 99%
confidence level, what size of sample is needed?
Give your answer in whole people.

4. A political candidate has asked you to conduct a poll to
determine what percentage of people support her. If the candidate
only wants a 2% margin of error at a 90% confidence level, what
size of sample is needed? Give your answer in whole people.

a.For a confidence level of 96%, find the critical value
b.In a recent poll, 170 people were asked if they liked dogs,
and 56% said they did. Find the margin of error of this poll, at
the 95% confidence level.
Give your answer to three decimals
c.Out of 200 people sampled, 32 had kids. Based on this,
construct a 99% confidence interval for the true population
proportion of people with kids.
Give your answers as decimals, to three places
______<...

A political candidate has asked you to conduct a poll to
determine what percentage of people support him. If the candidate
only wants a 0.5% margin of error at a 95% confidence level, what
size of sample is needed?

A political candidate has asked you to conduct a poll to
determine what percentage of people support her. If the candidate
only wants a 0.1% margin of error at a 99.5% confidence level, what
size of sample is needed? ______

A political candidate has asked you to conduct a poll to
determine what percentage of people support her.
If the candidate only wants a 7% margin of error at a 90%
confidence level, what size of sample is needed?

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