Question

Jaylen used the seat number for each of the 6,500 fans' seats in the stands at a college football game and put the numbers in a computer program. He randomly chose 200 numbers and found that 36 of those people had also purchased a parking voucher. Estimate the number of fans in the stands at a sold-out football game that purchased a parking voucher. Explain.

Answer 1

1170 seats

Explanation:

Given

`Seats = 6500`

From the computer program, we have:

`Sample = 200`

`Voucher = 36`

First, we calculate the proportion (p) of those that bought the voucher

`Proportion = (Voucher)/(Sample)`

`p = (36)/(200)`

`p = 0.18`

Using the larger population (i.e. 6500 seats), the esitimate of people that have bought the voucher is then calculated as:

`Estimate= Proportion * Seats`

`Estimate= 0.18 * 6500`

`Estimate= 1170`