5. A veterinarian keeps track of the types of animals treated by an animal clinic. The following distribution represents the percentages of animals the clinic has historically encountered. Animal type Dogs Cats Livestock Birds Other Percent 61% 22% 8% 6% 3% If the animal clinic treats 230 animals in a month, how many of each animal type would be expected? Animal type Dogs Cats Livestock Bird Other A Expected 61 22 3 B Animal type Dogs Cats Livestock Bird: Other Expected 122 44 16 12 C Animal type Dogs Cats Livestock Birds Other Expected 140 51 18 14 Animal type Dogs Cats Livestock Birds Other Expected 46 46 46 46 46 Dogs Cats Livestock Birds E Animal type Other Expected 140.3 50.6 18.4 13.8 6.9 6. A private lake sells boating memberships and currently has 600 members. During the application process the potential members are asked which recreational activity they do the most. Their choices are fishing, skiing, boarding, swimming, or tubing. The lake manager chooses clients according to their interests to maximize the use of all areas of the lake. Every month, the lake rangers randomly sample the boats on the lake and categorize them according to the activity they are doing. The lake manager performs a chi-square goodness-of-fit test using the following null hypothesis to see whether their samples differ significantly from what the original applications claim. Ho : Pfish = 0.26, Pski = 0.21, Pboard = 0.30, Pswim = 0.12, Ptube = 0.11 In order to meet the conditions for independence and large counts for a chi-square goodness-of-fit test, which of the following represents all possible sizes of the monthly samples