A large airport has parking spaces spread among 4 types of parking lots. The cost to park a car per day differs from lot to lot depending on the time it takes to get to the airport terminal. The parking lots are described as
follows.
•Premium parking is less than a 5-minute walk to the airport terminal. Premium parking spaces account for 15 percent of the total number of airport
parking spaces.
• General parking is a 5- to 10-minute walk to the airport terminal. General parking spaces account for 29.5 percent of the total number of airport parking spaces.
•Economy parking is a 10- to 15-minute walk to the airport terminal. Economy parking spaces account for 37 percent of the total number of airport parking spaces.
• Off-site parking uses a shuttle that operates every 15 minutes to transport people from the off-site parking lot to the airport terminal. Off-site parking spaces account for 18.5 percent of the total number of airport parking spaces.
Tens of thousands of drivers park in the airport's parking lots each year. A random sample of 343 drivers who park in the airport's parking lots is selected during a given year, and each driver is asked where they would
choose to park if all parking lot options were available to them. Airport officials counted the number of responses for each type of parking lot, and the results are summarized in the table.
Type of Parking Lot:
1.) Premium
2.) General
3.) Economy
4.) Off-site
Number of Responses:
1.) 63
2.) 125
3.)111
4.) 44
Total:
343
Do the data in the table provide convincing statistical evidence that at least one of the proportions of all drivers who park in the airport's parking lots who would choose each type of parking lot is different from the
proportion of the total number of airport parking spaces accounted for by that type of parking lot? Complete the appropriate inference procedure to support your answer using a significance level of a = 0.05.