3. Methods for Proportions and Nominal Variables [40 points) Wanting to know if different types of \"animal therapy\" have differing effects on subjects suffering from anxiety, clinicians at a mental-health clinic took a random sample of 114 patients and assessed the presence or absence of anxiety in a social setting for subjects assigned either a dog, cat, or parrot as a companion animal. - Based on the given data, is there a statistically significant difference in the presence of anxiety across the three treatment groups? If you find differences in the presence of anxiety, isolate which treatments are different. Where differences are present, quantify the degree of association between lack of anxiety and the physically larger animal of the pairing [assume Dog > Cat > Parrot). Use the Bonferroni correction for any pairwise comparisons you might perform. Do not use the ztest for any pairwise comparisons you might perform