Hi, can I get some help with the following problem: In a certain town, there are

Question

Hi, can I get some help with the following problem:

In a certain town, there are 30,000 registered voters, of whom12,000 are Democrats. A survey organization is about to take asimple random sample of 1,000 registered voters.

a) The expected value for the percentage of Democrats in the sampleis _____. The SE for the percentage of Democrats in the sample is_____. Explain.

b) The percentage of Democrats in the sample is likely to be around_____. Explain.

c) Find the chance that between 39% and 41% of the registeredvoters in the sample are Democrats.Explain.

Explanation / Answer

n=1000 p=12/30=2/5 ... probability of success getting a democrat np=1000(2/5)>5 This is a binomial distribution x and it can be well approximatedby a normal distribution y of mean=4000,=(np(1-p))=15.5 a) percentage democrats expected is 40% b)percentage in sample about 40 % c)P(.39(1000)

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