In a poll to estimate presidential popularity, each person in a random sample of 1,230 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 675 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 good job. (Round your answers to 3 decimal places.) Confidence interval for the proportion up to is 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? Yes No

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In a poll to estimate presidential popularity, each person in a random sample of 1,230 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 675 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 good job. (Round your
answers to 3 decimal places.)
Confidence interval for the proportion
up to
is
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?
Yes
No
Transcribed Image Text:In a poll to estimate presidential popularity, each person in a random sample of 1,230 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 675 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 good job. (Round your answers to 3 decimal places.) Confidence interval for the proportion up to is 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? Yes No
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