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

Answer:

1170 seats

Step-by-step 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

$Proportion = \frac{Voucher}{Sample}$

$p = \frac{36}{200}$

$p = 0.18$

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

$Estimate= Proportion * Seats$

$Estimate= 0.18 * 6500$

$Estimate= 1170$