Question 687594: In a poll to estimate presidential popularity, each person in a random sample of 800 voters was asked to agree with one of the following statements: 1. The president is doing a good job. 2. The president is doing a poor job. 3. I have no opinion. A total of 500 respondents selected the first statement, indicating they thought the president was doing a good job. (a) Construct a 98% confidence interval for the proportion of respondents who feel the president is doing a job. (Round your answers to 2 decimal places.)
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! In a poll to estimate presidential popularity, each person in a random sample of 800 voters was asked to agree with one of the following statements: 1. The president is doing a good job. 2. The president is doing a poor job. 3. I have no opinion. A total of 500 respondents selected the first statement, indicating they thought the president was doing a good job. (a) Construct a 98% confidence interval for the proportion of respondents who feel the president is doing a job.
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p-hat = 5/8
ME = 2.3263*sqrt[(5/8)(3/8)/800] = 0.0398
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98%CI: (5/8)-0.0398 < p < (5/8)+0.0398
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Cheers,
Stan H.
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