A local planning commission is interested in finding out what proportion of its city's residents is opposed to constructing a new baseball stadium in the downtown area. A random sample of 1870 residents is obtained, and 41.2 percent of them are opposed to the stadium.
A 95 percent confidence interval was created for the proportion of the city's residents who are opposed to constructing a new baseball stadium in the downtown area. A "95 percent confidence" means that:
A) 95 percent of all residents oppose constructing a new stadium in the downtown area.
B) the interval was obtained by using a method that would give a range containing the true value for 95 percent of all samples.
C) the interval contains the true proportion of all residents who oppose constructing a new stadium in the downtown area.
D) 95 percent of all educated adults would believe the statement.

Question

Quizplus · Accepted Answer

A 95 percent confidence interval means that if we were to repeat the sampling process many times and construct 95 percent confidence intervals using the same method, then we would expect 95 percent of those intervals to contain the true proportion of residents who oppose constructing a new stadium in the downtown area. It does not mean that 95 percent of all residents oppose constructing a new stadium, nor is it related to the beliefs of educated adults.

A Local Planning Commission Is Interested in Finding Out What