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

Question

Quizplus · Accepted Answer

The sample proportion is calculated as the number of residents living within 1 mile of a hazardous waste site divided by the total number of residents sampled, which is 135/450 = 0.3. The standard error (SE) of the sample proportion is calculated using the formula SE = sqrt[p(1-p)/n], where p is the sample proportion and n is the sample size. Substituting the values gives SE = sqrt[0.3(1-0.3)/450] = 0.022.

A Simple Random Sample of 450 Residents in the State