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 1,470 voters was asked to agree with one of the following statements:

A total of 600 respondents selected the first statement, indicating they thought the president was doing a good job.

Construct a 98% 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.)

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?

In a poll to estimate presidential popularity, each person in a random sample of 1,470 voters was asked to agree with one of the following statements:

Explanation / Answer

estimated proportion=600/1470 =0.4082

and std error =(p(1-p)/n)1/2 =0.0128

also for 98% CI, t =2.3289

hence confidence interval =sample mean -/+ t*std error =0.378 ; 0.438

b) No as the interval does not contain value more then 0.5 .

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