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In a poll to estimate presidential popularity, each person in a random sample of

ID: 2945805 • Letter: I

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

Explanation / Answer

The statistical software output for this problem is:

One sample proportion summary confidence interval:
p : Proportion of successes
Method: Standard-Wald

98% confidence interval results:

Hence,

a) 98% confidence interval:

0.401 upto 0.463

b) No

Proportion Count Total Sample Prop. Std. Err. L. Limit U. Limit p 600 1390 0.43165468 0.013285166 0.40074876 0.46256059
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