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

To estimate the proportion of the entire population of stores that is compliant with the ordinance, we need to calculate the weighted average of the compliance proportions for each type of store.

First, let's calculate the proportion of compliance for each type of store based on the sample results:

For the large chain stores: 2 out of 3 are compliant, so the proportion of compliance is 2/3.

For the smaller chain stores: 1 out of 4 is compliant, so the proportion of compliance is 1/4.

For the locally-owned stores: 1 out of 3 is compliant, so the proportion of compliance is 1/3.

Next, we need to calculate the weighted average of these proportions based on the number of each type of store in the population.

There are 3 large chain stores out of 33 total stores, so the weight for the large chain stores is 3/33.

There are 10 smaller chain stores out of 33 total stores, so the weight for the smaller chain stores is 10/33.

There are 20 locally-owned stores out of 33 total stores, so the weight for the locally-owned stores is 20/33.

Now, we can calculate the weighted average:

Weighted average = (Proportion of compliance for large chain stores * Weight for large chain stores) + (Proportion of compliance for smaller chain stores * Weight for smaller chain stores) + (Proportion of compliance for locally-owned stores * Weight for locally-owned stores)

Weighted average = (2/3 * 3/33) + (1/4 * 10/33) + (1/3 * 20/33)

Simplifying the expression:

Weighted average = 6/99 + 10/132 + 20/99

Weighted average = 60/990 + 15/990 + 40/990

Weighted average = 115/990

Therefore, the estimated proportion of the entire population of stores that is compliant with the ordinance is 115/990, which simplifies to approximately 0.116.

Since none of the answer choices match this value exactly, we can round it to the nearest option, which is 0.121.

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

The correct answer is A) 0.121.

To estimate the proportion of the entire population of stores that is compliant with the ordinance, we can use the sample results and apply the concept of stratified random sampling.

In this case, we have three different groups of stores: large chain stores, smaller chain stores, and locally-owned stores. We know the number of stores in each group, the number of compliant stores in each group, and the total number of stores in the population.

Let's start by calculating the estimated proportion of compliant stores within each group.

For large chain stores:
- Number of large chain stores in the sample: 3
- Number of compliant large chain stores in the sample: 2
- Estimated proportion of compliant large chain stores: 2/3 = 0.6667

For smaller chain stores:
- Number of smaller chain stores in the sample: 4
- Number of compliant smaller chain stores in the sample: 1
- Estimated proportion of compliant smaller chain stores: 1/4 = 0.25

For locally-owned stores:
- Number of locally-owned stores in the sample: 3
- Number of compliant locally-owned stores in the sample: 1
- Estimated proportion of compliant locally-owned stores: 1/3 = 0.3333

Now let's calculate the weighted average of these proportions based on the proportion of each group in the population.

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

To calculate the proportion of each group in the population, we divide the number of stores in each group by the total number of stores:

Proportion of large chain stores in the population = (3 / 33) = 0.0909
Proportion of smaller chain stores in the population = (10 / 33) = 0.3030
Proportion of locally-owned stores in the population = (20 / 33) = 0.6061

Now let's substitute these values into the weighted average formula:

Weighted average = (0.6667 * 0.0909) + (0.25 * 0.3030) + (0.3333 * 0.6061)
= 0.0606 + 0.0758 + 0.2020
= 0.3384

Therefore, the estimated proportion of the entire population of stores that is compliant with the ordinance is 0.3384.

Unfortunately, none of the given answer choices match this estimation.