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 with a backyard are randomly selected; 11 own a dog.
20 households are randomly selected from the town; 8 own a dog.
20 households within a mile of a park are randomly selected; 12 own a dog.
(b) There are 1000 households in the town.
Using your answer from part (a), estimate the number of households that own a dog.
households
(a) The survey of 20 households within a mile of a park that are randomly selected and 12 own a dog would probably best represent the entire population of households.
(b) If 20 households within a mile of a park were randomly selected and 12 owned a dog, we can estimate that approximately 60% of households within a mile of a park own a dog. Applying this percentage to the total number of households in the town (1000 households), we can estimate that 600 households in the town own a dog.