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Statement of a problem № m541

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In a poll to estimate presidential popularity, each person in a random sample of 1,000 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 560 respondents selected the first statement, indicating they thought the presi-dent was doing a good job. a. Construct a 95% confidence interval for the proportion of respondents who feel the president is doing a good job. b. Based on your interval in part (a), is it reasonable to conclude that a majority of the population believes the president is doing a good job?




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