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 315 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?
A)0.3 and 0.022
B)0.7 and 0.01
C)0.7 and 0.21
D)0.7 and 0.022

Question

Quizplus · Accepted Answer

The sample proportion of people who live within 1 mile of a hazardous waste site is:
p̂ = 315/450 = 0.7
The standard error for a proportion is:
SE = sqrt(p̂(1-p̂)/n)
SE = sqrt(0.7(1-0.7)/450) = 0.022
Therefore, the answer is D) 0.7 and 0.022.

A Simple Random Sample of 450 Residents in the State