Question

town officials want to estimate the number of households that own a dog. answer the following.
(a) which of the following surveys probably would best represent the entire population of households?
○ 20 households within a mile of a park are randomly selected; 9 own a dog.
○ 20 households with a garage are randomly selected; 11 own a dog.
○ 20 households are randomly selected from the town; 8 own a dog.
(b) there are 300 households in the town.
using your answer from part (a), estimate the number of households that own a dog.
□ households

Explanation:

Step1: Identify representative sample

A sample that randomly selects from the entire town (not a subset like near parks or with garages) best represents all households. So the correct survey is: 20 households are randomly selected from the town; 8 own a dog.

Step2: Calculate sample proportion

Find the proportion of dog-owning households in the sample.
$\text{Proportion} = \frac{8}{20} = 0.4$

Step3: Estimate population count

Multiply the proportion by total town households (300).
$\text{Estimate} = 300 \times 0.4$

Answer:

(a) 20 households are randomly selected from the town; 8 own a dog.
(b) 120 households