A telephone poll of 1000 adult Americans was reported in a magazine. One of the questions asked was "What is the main problem facing the country?" Suppose 26% answered "crime". We are interested in the population proportion of adult Americans who feel that crime is the main problem. NOTE: If you are using a Student's t-distribution, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Which distribution should you use for this problem? (Round your answers to three decimal places.) P' ~ Construct a 95% confidence interval for the population proportion of adult Americans who feel that crime is the main problem. (i) State the confidence interval. (Round your answers to four decimal places.)

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A telephone poll of 1000 adult Americans was reported in a magazine. One of the questions asked was "What is the main problem facing the country?" Suppose 26% answered "crime". We are interested in the population proportion of adult Americans who feel that crime is the main problem.

NOTE: If you are using a Student's t-distribution, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)

Which distribution should you use for this problem? (Round your answers to three decimal places.)

P' ~

Construct a 95% confidence interval for the population proportion of adult Americans who feel that crime is the main problem.

(i) State the confidence interval. (Round your answers to four decimal places.)
 
  ,  
 


(ii) Sketch the graph.
 
(iii) Calculate the error bound. (Round your answer to four decimal places.)
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