Question

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

Answer #1

Solution :

Given that,

= 0.5

1 - = 1 - 0.5 = 0.5

margin of error = E = 10% = 0.10

At 90% confidence level the z is ,

= 1 - 90% = 1 - 0.90 = 0.10

/ 2 = 0.10 / 2 = 0.05

Z_{/2}
= Z_{0.05} = 1.645

Sample size = n = (Z_{/2}
/ E)^{2} *
* (1 -
)

= (1.645 / 0.10)^{2} * 0.5 * 0.5

= 67.65

Sample size = 68

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If the candidate only wants a 5% margin of error at a 95%
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Give your answer in whole people.

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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.

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determine what percentage of people support her. If the candidate
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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
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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 his/her assistant to conduct a
poll to determine the percentage of people in the community that
supports him/her. If the candidate wants a 1% margin of error at a
99% confidence level, what size of sample is needed? Be
sure to round accordingly.
The candidate would need to survey ?????? people in the community
in order to be within a 1% margin of error at a 99% confidence
level.

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.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
______<...

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