A zoo has separate habitats for its three types of bears: brown, black, and
grizzly bears. Each habitat offers three areas for the bears to spend their
time: an outdoor area, an indoor area, and a pool.
Gisele is the zookeeper who cares for the brown bear. She takes a random
sample of 10 moments each day for a week and records which area the
brown bear is at each of those moments. Bryan and Adele use a similar
strategy and obtain separate samples of 70 observations for the black and
grizzly bears, respectively. Here are their results:
Bear
Outdoor
Indoor Pool
Total
Brown
23
27 20
Black
15
18
37
77
70
70
Grizzly
32
Total
70
57
25
12 26
70
83
210
They want to perform a x2 test for homogeneity to judge if the bears are
spending their time differently in their habitats.
What is the expected count for the cell corresponding to the grizzly bear
being by the pool?
You may round your answer to the nearest hundredth.
Expected: