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 1,110 voters was asked to agree with one of the following statements:

A total of 725 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 z Distribution Table.) (Round your answers to 3 decimal places.)

In a poll to estimate presidential popularity, each person in a random sample of 1,110 voters was asked to agree with one of the following statements:

Explanation / Answer

Confidence Interval For Proportion
CI = p ± Z a/2 Sqrt(p*(1-p)/n)))
x = Mean
n = Sample Size
a = 1 - (Confidence Level/100)
Za/2 = Z-table value
CI = Confidence Interval
No. of success(x)=725
Sample Size(n)=1110
Sample proportion = x/n =0.653
Confidence Interval = [ 0.653 ±Z a/2 ( Sqrt ( 0.653*0.347) /1110)]
= [ 0.653 - 1.645* Sqrt(0) , 0.653 + 1.65* Sqrt(0) ]
= [ 0.629,0.677]

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