A town has 30000 people eligible to vote. To estimate the percentage of Republic

Question

A town has 30000 people eligible to vote. To estimate the percentage of Republicans among these voters, a simple random sample of 700 people were selected to answer a questionnaire. Of those surveyed, 401 people declared themselves to be Republicans. Based on this result, we can infer that the percentage of Republicans will be around 57.29, give or take _____________ or so. (Round both answers to the nearest percent.)

Please correctly answer and fill in the blank above.

Note: The answer is not 25.65

Explanation / Answer

here mean proportion p=401/700=0.5729 ~57.29%

and as n/N =700/30000 <=0.05

hence std error =(p(1-p)/n)1/2 =0.0187

hence percentage of Republicans will be around 57.29 give or take 1.87% or so.  

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.