In a randomly selected sample of 500 registered voters in a community, 260 indiv

Question

In a randomly selected sample of 500 registered voters in a community, 260 individuals say that they plan to vote for Candidate Y in the upcoming election.

b)Calculate the standard error of the sample proportion. (Round your answer to three decimal places.)

c)   Find a 95% confidence interval for the proportion of the registered voter population who plan to vote for Candidate Y. (Round your answers to three decimal places.)

d)  Find a 98% confidence interval for the proportion of the registered voter population who plan to vote for Candidate Y. (Round your answers to three decimal places.)

Explanation / Answer

p= 260 / 500 = 0.52

Serror = srqt ( 0.52*0.48 / 500 ) = 0.0223

c)

alpha / 2 = 0.025 Z= 1.96

I: 0.52 +/- 1.96 * 0.0223

0.52 +/- 0.043708

0.476 < p < 0.564

d)

alpha / 2 = 0.01

Z = 2.32

I: 0.52 +/- 2.32 * 0.0223

0.52 +/- 0.052

0.468 < p < 0.572

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