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. about \\( \frac { 9 } { 20 } \\) of all weekday tickets purchased will be day pass tickets.

Explanation:

Step1: Calculate the proportion of weekday hourly - pass tickets

The total number of weekday tickets is \(22 + 18=40\). The number of weekday hourly - pass tickets is \(22\). The proportion is \(\frac{22}{40}=\frac{11}{20}=0.55 = 55\%
eq45\%\).

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 \(\frac{15}{40}=\frac{3}{8}\). For \(n = 600\) weekend tickets, the expected number of hourly - pass tickets is \(600\times\frac{3}{8}=225\).

Step3: Calculate the proportion of weekday day - pass tickets

The total number of weekday tickets is \(22+18 = 40\). The number of weekday day - pass tickets is \(18\). The proportion is \(\frac{18}{40}=\frac{9}{20}\).

Answer:

1. Not Valid
2. Valid
3. Valid