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

10 answers

.879

ujda66

0.4 is the right answer

(2/3)(3)+(1/4)(10)+(1/3)(20)

-------------------------------
3+10+20

WHAT IN THE HELL IS THE ANSWER

its 4, i just got the question wrong and it says its 4

no

To estimate the proportion of the entire population of stores that is compliant with the ordinance, we need to use the information from the sample results.

First, let's calculate the proportion of compliant stores in each category of stores based on the sample results:
- Large chain stores: 2 out of 3 compliant = 2/3 ≈ 0.67
- Smaller chain stores: 1 out of 4 compliant = 1/4 = 0.25
- Locally-owned stores: 1 out of 3 compliant = 1/3 ≈ 0.33

Next, we need to take into account the proportion of each category of stores in the entire population. We are told that there are 33 stores in total, with 3 large chain stores, 10 smaller chain stores, and 20 locally-owned stores.

So, to estimate the proportion of compliant stores in the entire population, we multiply the proportion of compliant stores in each category by the proportion of that category in the total population, and then sum them up:

(2/3) * (3/33) + (1/4) * (10/33) + (1/3) * (20/33) ≈ 0.1818 + 0.0758 + 0.2020 ≈ 0.4596

Therefore, the estimated proportion of the entire population of stores that is compliant with the ordinance is approximately 0.4596.

Since none of the given options match this estimation, it seems that there may be an error in the calculation or options provided.