To estimate how many cats in the city's shelters are kittens based on the sample data, we can use the proportion of kittens in the sample and apply that to the total number of cats in the shelters.
In the sample of 70 cats, 12 are kittens. The proportion of kittens is:
\[ \text{Proportion of kittens} = \frac{12}{70} \]
Now, we calculate this value:
\[ \frac{12}{70} = \frac{6}{35} \approx 0.1714 \]
Now, apply this proportion to the total number of cats in the shelters (2,200):
\[ \text{Estimated number of kittens} = 2,200 \times \frac{12}{70} \]
Calculating that gives:
\[ \text{Estimated number of kittens} = 2,200 \times 0.1714 \approx 377 \]
Thus, based on the sample data, the estimated number of cats in the city’s shelters that are kittens is approximately 377 cats.