Question

In a poll to estimate presidential popularity, each person in a random sample of 950 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.

1. Construct a 90% confidence interval for the proportion of respondents who feel the president is doing a good job. (Round your answers to 3 decimal places.)

2. 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?

• No

• Yes

Answer 1

a)

b)

Yes as the confidence interval lies over 0.5