(a) which of the following surveys probably w...
(a) which of the following surveys probably would best represent the entire adult population of the city?\no 50 senior residents are randomly selected; 35 voted in the last election.\no 50 adult residents are randomly selected from the city; 29 voted in the last election.\no 50 business owners are randomly selected; 33 voted in the last election.\n\n(b) there are 17,100 adults who live in the city. using your answer from part (a), estimate the number of adults who voted in the last city election.\n\n□ adults
Answer
# Explanation:
## Step1: Identify representative sample
To represent the entire adult population, the sample should be randomly selected from all adults. Selecting only senior residents or business - owners is a biased sample. So, 50 adult residents randomly selected from the city is the best representative sample.
## Step2: Set up proportion for estimation
Let $x$ be the number of adults who voted in the last city election. We know that in the sample of 50 adults, 29 voted. The proportion is $\frac{29}{50}=\frac{x}{17100}$.
## Step3: Solve for $x$
Cross - multiply: $50x = 29\times17100$. Then $x=\frac{29\times17100}{50}$. Calculate $29\times17100 = 495900$, and $\frac{495900}{50}=9918$.
# Answer:
a. 50 adult residents are randomly selected from the city; 29 voted in the last election.
b. 9918 adults