Answer Happy

In North West Indiana, 51% of the people are with brown eyes and 31% are with blue eyes . In Garrett, a random sample of 100 people showed 40 people with brown eyes and 40 people with blue eyes. Set up a xgoodness-of-fit test (section 10.1) at a = 0.1 to test if the proportions of people with brown and blue eyes in Garrett is different from the rest of the NW Indiana. In particular, define Ho and Hi, compute the test statistic value from the sample, define the rejection region in terms of the inverse xa distribution with the appropriate degrees of freedom, conclude, and provide interpretation in the context of the question. (+4%, bonus, i.e., +1 pt.: determine the p-value of the test.)