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 1,190 voters was asked to agree with one of the following statements:

A total of 700 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.(Round your answers to 3 decimal places.)

Confidence interval for the proportion is _____up to_____.

b. 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?

yes ot no

In a poll to estimate presidential popularity, each person in a random sample of 1,190 voters was asked to agree with one of the following statements:

Explanation / Answer

a) p = 700/1190 = 0.58824

SEp = sqrt[ p * ( 1 - p ) / n ] = sqrt(0.58824*0.411765/1190) = 0.0142668

Since the sample size is high,
zcrit = 2.33

Margin of error, E = 2.33*0.0142668 = 0.0332

98% CI = (0.555, 0.621)

b) Yes, the interval does not contain 0.5 and therefore it is reasonable to conclude that a majority of the population believes the president is doing a good job

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