The highway department wants to estimate the proportion of vehicles
on Interstate 25 between the hours of midnight and 5:00 A.M. that
are 18-wheel tractor trailers. The estimate will be used to
determine highway repair and construction considerations and in
highway patrol planning. Suppose researchers for the highway
department counted vehicles at different locations on the
interstate for several nights during this time period. Of the 3,633
vehicles counted, 845 were 18-wheelers.
a. Determine the point estimate for the proportion
of vehicles traveling Interstate 25 during this time period that
are 18-wheelers.
b. Construct a 99% confidence interval for the
proportion of vehicles on Interstate 25 during this time period
that are 18-wheelers.
(Round your answers to 3 decimal places.)
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