The results of a poll show that the percent of people in a town who want an observatory built on a nearby mountain is in the int
erval (0.60, 0.82) . What is the point estimate for the percent of people in the city who want the observatory? What is the poll's margin of error? The point estimate for the percent is ?
.
In finding this value you average lower and upper bound
(0.6+0.82)/2 = 0.71
=0.71 estimated
margin of error = distance from estimate point lower/ upper bound
This interval will be twice margin error
(0.82-0.6)/2 = 0.11
How far is 0.82 from 0.71 ??
=0.11=11%
, we have
to be continuous at 
, we require that the limit as 
is equal to 4.