Exercises for Mon 29 Feb

On Mon 22 Feb I discussed various topics from Ch 3, including that chapter's main recipes and tools for finding CDs and ccs. I also did Exercise 3.1. For Mon 29 Feb I will start Ch 4, and spend about half of the time for exercises, namely 3.4, 3.5, 3.9, 3.11, plus the following. 44 women and 101 men have been asked about whether they are positive to same-sex marriages or not, for the US state Vermont. For the women, 35 said "yes", 9 "no". For the men, 60 said "yes", 41 "no". Treat the data as a multinomial 2 x 2 table, with underlying probabilities p_{i,j}. Test independence by giving a full confidence curve for the appropriate \gamma = \sum_{i,j} (p_{i,j} - a_i b_j)^2/p_{i,j}, where a_i = Pr(X = i) and b_j = P(Y = j), with X = gender and Y = yes/no to the question. Also find one or two relevant focus parameters \psi and give confidence curves for these.