Question 1 A study is to be conductec a the percenlaye aí homeowners who own d e

Question

Question 1 A study is to be conductec a the percenlaye aí homeowners who own d east two te evlson se s. At least how large a·samp e is required il we wish to be 99% confident thia the error "1 st" nating this quantity IS less than 0.01 The Anzona Department of Transportation wishes to survey state residents to determine what proportion of the population would like to increase statewide highway speed to 75 from 65 mph. At least how many residents dn they need to survey if they w nt to h at least 99% confient that th, mple propnrtion is within 0.02 of hhe true proportion?

Explanation / Answer

a)

b)

here margin of error E = 0.017 for99% CI crtiical Z          = 2.5758 estimated proportion=p= 0.5000 required sample size n =         p*(1-p)*(/E)2= 5740.00

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