2. Can an amateur wine lover pair cheeses with wines? I have a friend who believes that even though she doesn't have any official certifications, she is able to properly pair wines with the cheeses they go with. So I present her with 15 wines and 15 corresponding cheeses to be paired with those wines.

1. (3 pts) What is the null hypothesis for this study?

1. (7 pts) Suppose my friend was able to get exactly 3 wine and cheese pairings correct. If the null hypothesis is true, what is the probability that the participant would match exactly 3 wines with their cheese? Explain how you arrived at this answer (which simulation did you use, how did you configure it and why, how many simulations did you run, which value(s) did you isolate, and what math or calculations did you perform?)

1. (8 pts) Based on the definition of a p-value and using our standard cut-off, what number of wine-cheese pairings would need to occur for us to reject the null? Be sure to use the definition of a p-value and explain how you reached this conclusion (what was your process)?