Question

kevin works at a trampoline park. he collects a random sample of the tickets sold on weekdays and on weekends. the results of his sample are shown in the table.
use the sample to determine if each inference is valid or not valid.
valid not valid
approximately 45% of all weekday tickets sold will be for the hourly pass tickets.
out of 600 tickets sold on the weekends, about 225 of those will be for hourly pass tickets.

Explanation:

Step1: Calculate the percentage of hourly pass tickets on weekdays

The total number of weekday tickets is \(22 + 18=40\). The number of hourly - pass weekday tickets is \(22\). The percentage of hourly - pass weekday tickets is \(\frac{22}{40}\times100\% = 55\%
eq45\%\).

Step2: Calculate the expected number of weekend hourly - pass tickets

The total number of weekend tickets in the sample is \(15 + 25 = 40\). The proportion of weekend hourly - pass tickets is \(\frac{15}{40}=\frac{3}{8}\). If there are \(n = 600\) weekend tickets, the expected number of hourly - pass tickets is \(600\times\frac{15}{40}=600\times\frac{3}{8}=225\).

Answer:

1. Not Valid
2. Valid