Astudy considered whether daily consumption of garlic could reduce tick bites. the study used a crossover design where half of the subjects used placebo first and garlic second and half the reverse. the authors described garlic being more effective with 53 subjects and placebo being more effective with 33 subjects. complete parts a through d below.

a. does this suggest a real difference between garlic and placebo, or are the results consistent with random variation?

b. state hypotheses for a large-sample two sided test?

c. find the test statistic value.

d. find the p-value.