In a poll to estimate presidential popularity, each person in a random sample of 1,390 voters was asked to agree with one of the following statements: The president is doing a good job.The president is doing a poor job.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 99% 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 is________ up to_____________

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Asked Nov 7, 2019
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In a poll to estimate presidential popularity, each person in a random sample of 1,390 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 99% 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 is________ up to_____________

 

 

 

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Expert Answer

Step 1

Given information:

Total number of random Sample (n) = 1390

Favorable outcome = 500

Step 2

Now, the sample proportion (p) is calculated as follows:

Favorable outcome
Totaloutcome
500
1390
=0.3597
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Favorable outcome Totaloutcome 500 1390 =0.3597

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Step 3

Confidence level=99%

So,

Significance level=1- Confidence level

                            =1-99%

                   &nb...

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