a. In an animal shelter, 100 cats and 50 dogs are being accommodated. Table below shows age group of the cats and dogs. Is the probability of being old equal in cats and dogs? Make a hypothesis test...

a. In an animal shelter, 100 cats and 50 dogs are being accommodated. Table below shows age group of the cats and dogs. Is the probability of being old equal in cats and dogs? Make a hypothesis test and report a p-value.

b. In a smaller animal shelter, 12 cats and 5 dogs are being accommodated. Table below shows age group of the cats and dogs. Is the probability of being old equal in cats and dogs? Make a hypothesis test and report
a p-value.

c. What is the power of the test in part a?

d. How many animals should be included in the study to repeat the test with the same significance as calculated in part a and %20 more power than calculated in part d?

e. Bonus question : Why are there more old animals in shelters than young ones?

Extracted text: Dogs Cats Total Old 40 70 110 Young 10 30 40 Total 50 100 150


Extracted text: Dogs Cats Total Old 4 7 11 Young 6. Total 12 17 LO