beet farmers claim that 76% of vegetarians like beets, while only 41% of carnivores like beets. suppose a random samples of 21 vegetarians and 31 carnivores are asked if they like beets. let p hat subscript upper v and p hat subscript c be the sample proportions of vegetarians and carnivores, respectively, who like beets. which of the following is the correct shape and justification of the sampling distribution of p hat subscript upper v baseline minus p hat subscript c ?