Question

A Quinnipiac University poll conducted during the week of 2-2-2013 surveyed 1,230 registered voters nationwide and asked, "Do you support or oppose stricter gun laws in the United States?" 52% of respondents supported stricter gun laws. This poll had a margin of error of 3.3%. What is the confidence level that goes along with this poll (to 2 decimals)?

The answer is not 98%, 98.98%, 99%, 99.01%

Answer 1

given data are:-

sample size (n) = 1230

p = 0.52

margin of error (E) = 3.3% = 0.033

according to the problem,

[ z^* is the critical value for significance level alpha, both tailed test]

[ as this is the critical value at level of significance, both tailed test]

[ in any blank cell of excel type =NORMSDIST(2.316563) press enter]

so, we have,

level of significance () = 0.0205 = 2.05%

confidence level = (1-) = (1-0.0205) = 0.9795 = 97.95 %

the confidence level that goes along with this poll is 97.95 %

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