Question

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.

Answer #1

SOLUTION

Given that,

= 0.5

1 - = 1 - 0.5 = 0.5

margin of error = E = 2% = 0.02

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 * 0.02)^{2} * 0.5 * 0.5

= 1691.2656

Sample size = 1692

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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.
_____% ±____ %
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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,
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Give your answer to three decimals
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construct a 99% confidence interval for the true population
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______<...

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