Question

A telephone poll of 1,000 adult Americans was reported in an issue of Time Magazine. One of the questions asked was "What is the main problem facing the country?" Twenty percent answered "crime." We are interested in the population proportion of adult Americans who feel that crime is the main problem.

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

P' ~ (_) (_,_)

Answer 1

Mean = $\hat{p}$ = 0.20

Standard deviation = sqrt [ $\hat{p}$ ( 1 - $\hat{p}$ ) / n ]

= sqrt [ 0.20 * 0.80 / 1000]

= 0.013

p' ~ N( 0.20 , 0.013)