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 5% margin of error at a 95%
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 = 5% = 0.05

At 95% confidence level the z is ,

= 1 - 95% = 1 - 0.95 = 0.05

/ 2 = 0.05 / 2 = 0.025

Z_{/2} =
Z_{0.025} = 1.96

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

= (1.96 / 0.05)^{2} * 0.5 * 0.5

= 384.16 = 385

Sample size = n = 385

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determine what percentage of people support him. If the candidate
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determine what percentage of people support her. If the candidate
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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...

In a recent poll, 480 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

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