Euniqua is considering running for political office, and wants to determine a 99

Question

Euniqua is considering running for political office, and wants to determine a 99% confidence interval for the true percentage of likely voters who will support her in the upcoming election. Assume she is able to use a Simple Random Sample from the population of likely voters.

(a) What is the critical value for such a confidence interval? Give your answer to exactly four decimal places.

(b) In order that the confidence interval has a margin of error less than 5%, what is the minimum sample size required?

(c) In order to guarantee a confidence level with a smaller Margin of Error, Euniqua could...
A. ...collude with Russian hackers to alter the sample data prior to the election.
B. ...use a simple random sample with a larger sample size.
C. ...use a larger confidence level.
D. ...use a simple random sample with a smaller sample size.
E. ...use a smaller confidence level.
F. ...maintain a private email server so that the sample data can be later deleted.
There may be more than one correct answer.

Explanation / Answer

a)

for 99% CI ; critical value of z =2.5758

b)

c)

B. ...use a simple random sample with a larger sample size.

( if mre than one are true

E. ...use a smaller confidence level. )

here margin of error E = 0.05 for99% CI crtiical Z          = 2.5758 estimated proportion=p= 0.500 required sample size n =         p*(1-p)*(z/E)2= 664.00

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