Suppose we are interested in whether or not a certain candidate in the president

Question

Suppose we are interested in whether or not a certain candidate in the presidential election currently stands the potential to win the general election in New York. We want to test the hypothesis that the true mean is equal to 50% against the idea it is greater than 50%. If we are willing to accept the idea that the true proportion is higher than 50% so long as the sample proportion from a random sample of 200 voters is between (.55, 1).

(a) Find the value of for this test.

(b) For the study we intend to run, find the sample size we need to have a margin of error of 2% with a 95% confidence level.

Explanation / Answer

a) alpha= 0.05

b) p = 0.5 , q = 0.5

z value = 1.96

margin of error = z * sqrt(pq/n)

0.0 2 = 1.96 * sqrt(0.5*0.5 / n)

n = 2401

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