Answered

IDNLearn.com is your go-to resource for finding answers to any question you have. Join our interactive Q&A community and get reliable, detailed answers from experienced professionals across a variety of topics.

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 :

MrRoyalidn

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]

We appreciate your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Your search for solutions ends at IDNLearn.com. Thank you for visiting, and we look forward to helping you again.