Question

A simple random sample of 450 residents in the state of new york is taken to estimate the proportion of people who live within 1 mile of a hazardous waste site. if 135 of the residents in the sample live within 1 mile of a hazardous waste site, what are the values of the sample proportion of people who live within 1 mile of a hazardous waste site and its standard error?

Answer 1

(1) What are the values of the sample proportion of people who live within 1 mile of a hazardous waste site and its standard error? Solution: pˆ = 0.3, and standard error p 0.3 × 0.7/450 = 0.0216. (2) What are the values of the sample proportion of people who live outside of the 1 mile radius around a hazardous waste site and its standard error? Solution: pˆ = 0.7, and standard error p 0.3 × 0.7/450 = 0.0216.