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 0.1% margin of error at a 99.5% confidence level, what size of sample is needed? ______

Answer #1

Solution :

Given that,

= 0.5

1 - = 1 - 0.5 = 0.5

margin of error = E = 0.1% = 0.001

At 99.5% confidence level the z is

Z/2 = Z0.0025 = 2.81( Using z table )

Sample size = n = (Z/2 / E)2 * * (1 - )

= (2.81 / 0.001)2 * 0.5 * 0.5

= 1974025

Sample size =1974025

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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
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sure to round accordingly.
The candidate would need to survey ?????? people in the community
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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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