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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.

Sagot :

MrRoyal

Answer:

1170 seats

Step-by-step explanation:

Given

[tex]Seats = 6500[/tex]

From the computer program, we have:

[tex]Sample = 200[/tex]

[tex]Voucher = 36[/tex]

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

[tex]Proportion = \frac{Voucher}{Sample}[/tex]

[tex]p = \frac{36}{200}[/tex]

[tex]p = 0.18[/tex]

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

[tex]Estimate= Proportion * Seats[/tex]

[tex]Estimate= 0.18 * 6500[/tex]

[tex]Estimate= 1170[/tex]

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