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 1,390 voters was asked to agree with one of the following statements:

A total of 575 respondents selected the first statement, indicating they thought the president was doing a good job.

Construct a 90% confidence interval for the proportion of respondents who feel the president is doing a good job. (Use Student's t Distribution Table.) (Round your answers to 3 decimal places.)

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:

Explanation / Answer

p = 575 / 1390 = 0.414 , t value with df =1389 = 1.645

CI = p + / - t * sqrt ( p ( 1-p) / n )

= 0.414 + / - 1.645 * sqrt ( 0.414 * 0.586 / 1390)

= (0.392 , 0.436)

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