A health inspector wants to check compliance with a new city ordinance on meat storage. Since he can only inspect 10 of the 33 stores, he chooses to do a stratified random sample that consists of all 3 of the large chain stores, 4 of the 10 smaller chain stores, and 3 of the 20 locally-owned stores.

From his inspection he finds that 2 of the 3 large chain stores are compliant, 1 of the 4 smaller chain stores is compliant, and 1 of the 3 locally-owned chain stores is compliant.

Using the sample results, estimate the proportion of the entire population of stores that is compliant with the ordinance.

A)
0.121

B)
0.4

C)
0.6

D)
0.879

0.6

To estimate the proportion of the entire population of stores that is compliant with the ordinance, we can use the sample results obtained from the health inspector's inspection.

First, let's calculate the proportion of compliant stores within each stratum:

For the large chain stores:
Proportion of compliant stores = Number of compliant stores / Total number of large chain stores = 2 / 3 = 2/3

For the smaller chain stores:
Proportion of compliant stores = Number of compliant stores / Total number of smaller chain stores = 1 / 4 = 1/4

For the locally-owned stores:
Proportion of compliant stores = Number of compliant stores / Total number of locally-owned stores = 1 / 3 = 1/3

Next, let's calculate the weighted average of these proportions based on the proportion of each stratum in the population:

Weighted average proportion of compliant stores = (Proportion of compliant stores in large chain stores * Proportion of large chain stores) + (Proportion of compliant stores in smaller chain stores * Proportion of smaller chain stores) + (Proportion of compliant stores in locally-owned stores * Proportion of locally-owned stores)

Calculating this:

Weighted average proportion of compliant stores = (2/3 * 3/33) + (1/4 * 10/33) + (1/3 * 20/33) = 2/33 + 10/132 + 20/99 = 0.121

So, the estimated proportion of the entire population of stores that is compliant with the ordinance is 0.121.

Therefore, the correct answer is:

A) 0.121