2. Do dogs resemble their owners? A surprising number of researchers have attempted to answer this question in laboratory experiments. Many of these studies report that dogs do in fact look like their owners. In the first part of this homework, we are going to mimic one of those studies to investigate whether or not you can match dogs with their owners based on appearance. a) (3 pts) What is the null hypothesis for this study? b) (7 pts) Suppose that we had pictures of 6 dogs and pictures of those dogs' owners (6 owners). Imagine that we invited a participant into the lab and asked that individual to try to correctly match up the owners' pictures with the dogs' pictures. If the null hypothesis is true, what is the probability that the participant would match exactly 2 dogs with their owners? 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?) c) (5pts) What is the definition of a p value? d) (5pts) Based on this definition and using the standard cut-off of p < .05, what number of matches would this participant have to get in order for us to reject the null hypothesis? Explain how you reached this conclusion (what was your process)?