The University of Michigan conducted a survey about the state\'s right-to-work l

Question

The University of Michigan conducted a survey about the state's right-to-work law. The following paragraph is included at the bottom of the page. "The Michigan Public Policy survey sent questionnaires to 1, 856 local government units and received a 73% response rate between April 8 and June 9. The survey has a margin of error of plus or minus 1.4 percentage points." In a survey conducted by Hart Research for Travelers Insurance it was found that 83% of the respondents reported having installed smoke and carbon monoxide detectors. They reported a margin of error of 3.5% Hart Research conducted the random national telephone survey from May 20-June 2, 2013, amount 806 adults nationwide. 1. Which survey UM or Hart can report a margin of error, Explain your answer. 2. For the survey that can report a margin of error, write a confidence statement for the confidence interval.

Explanation / Answer

A)

ME = z(a/2)*sqrt(p*(1-p)/n)

i can report ME only for Hart survey as proportion of success (p) is given here. but for Um, the response rate is 73% which will affect my actual sample size and there by the ME.

B)

i am alpha% confident that population proporiton of people who have installed smoke and CMO detectors lies in this interval

Hart -> 3.50%

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