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 575 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.)

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

1) Option A is correct. President is doing a good job

a) Sample Proportion = 575/1470 = 0.391156

Margin of Error = 1.960*Sqrt(0.391156*(1-0.391156)/1470) = 0.024947

95% Interval

( 0.391156-0.024947, 0.391156+0.024947)

( 0.366, 0.416)

b) No, because it does not contain 0.50

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