Describe the chi-square goodness-of-fit test Provide a detailed explanation of what this test measures

Suppose the STAT Society is running a raffle. There are 200 STAT 3331 students who want to participate in this raffle. There is only 1 prize... a $10 TI-30XA calculator and someone will win it.

To participate in the raffle, a student must donate $1.

Therefore the xi, representing the STAT Society's profit per ticket, would be $1-$10 = -$9 for a winning ticket and $1-$0 = $1 for a non-winning ticket. The probability associated with xi = -$9 is 1/200 while the probability associated with xi = 1 is 199/200.