In a poll to estimate presidential popularity, each person in a random sample of

Question

In a poll to estimate presidential popularity, each person in a random sample of 1,270 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 550 respondents selected the first statement, indicating they thought the president was doing a good job.

Construct a 95% confidence interval for the proportion of respondents who feel the president is doing a good job. (Use z Distribution Table.) (Round your answers to 3 decimal places.)

Construct a 95% confidence interval for the proportion of respondents who feel the president is doing a good job. (Use z Distribution Table.) (Round your answers to 3 decimal places.)

Explanation / Answer

Here p=550/1270=0.43, z=1.96 and

Margin of Error = z*sqrt(pq/n)=0.027

Hence CI=p+/-E=0.43+0.027=(0.43, 0.457)

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