PLEASE help me answer these questions! Thank u!

Psychology researchers from the University of California, San Diego, set about nding an answer to the question, "Do dogs resemble their owners?" In their study, "28 student judges were asked to match photos of dogs with their owners. Each student was presented with a photo of a dog owner and photos of two dogs. One dog was the actual pet, the other was an imposter. If more than half of the judges correctly paired a given dog with his or her owner, this was considered a "match". Forty-ve dogs took part in the study25 pure-breds and 20 mutts. [...] Overall, there were just 23 matches (as dened above). However, the judges had an easier time with the purebred dogs: 16 matches, versus 7 for the mixed breeds." Output is shown here for three tests: both types together, pure-breds, and mixed breeds ("mutts"), in that order. Sample X N Sample 1: 95.0% Lower Bound Z-Value PValue 1 23 45 0.511111 0.388541 0.15 0.441 Sample X N Sample p 95.0% Lower Bound Z-Value PValue 1 16 25 0.640000 0.482094 1.40 0.081 Sample X N Sample 1: 95.0% Lower Bound Z-Value PValue 1 7 20 0.350000 0.174570 1.34 0.910 (a) What are the appropriate null and alternative hypotheses to test if the proportion of all dogs that can be successfully matched by judges is more than half? C Ho: y = 0.50 vs. Ha: p > 0.50 A H041 = 0.51 vs. Ha: u > 0.51 T Ho: u = 0.50 vs. Ha: ,u at 0.50 A, H0: y = 0.51 vs. H5111 $ 0.51 f\" Ho: p = 0.50 vs. Ha: p > 0.50 " Ho: p = 0.51 vs. Ha: p > 0.51 (3 Ho: p = 0.50 vs. Ha: p # 0.50 " Ho: p = 0.51 vs. Ha: p 0.51 '\" Ho: f) = 0.50 vs. Ha:13 > 0.50 57, Ho: 13 = 0.51 vs. H5: 13 > 0.51 A Ho: [7 = 0.50 vs. H5: 1') at 0.50 A Ho: 1'; = 0.51 vs. Ha:13 i 0.51 (b) For which types of dogs do the tests indicate that dogs really do resemble their owners? A both types together A pure-breds A mixed breeds A all of the above A none of the above (c) For which types of dogs is use of a normal approximation most appropriate for the given data? A mixed breeds A both types together A pure-breds (d) For which types of dogs is use of a normal approximation least appropriate for the given data? A both types together A mixed breeds A pure-breds (e) For mixed breeds, if we adhere strictly to our rules of thumb, for which type of procedure may a normal approximation be used? A for constructing a confidence interval A for carrying out a hypothesis test to see if, in general, correct matches are in a majority A for both of the above A for neither of the above