craig randomly surveys 50 people to find their favorite store at the mall. he finds that 16 people say they…
craig randomly surveys 50 people to find their favorite store at the mall. he finds that 16 people say they like the clothing store the best. if he conducts a second survey with 125 people, which is the best prediction for the number of people who will say they like the clothing store the best? 45 54 30 35
Answer
Explanation:
Step1: Calculate the proportion in first survey
The proportion of people who like the clothing - store in the first survey is $\frac{16}{50}$.
Step2: Use the proportion to predict for second survey
Multiply the proportion by the number of people in the second survey. Let $x$ be the number of people who like the clothing - store in the second survey. Then $x=\frac{16}{50}\times125$. First, simplify $\frac{16}{50}=\frac{8}{25}$, and $\frac{8}{25}\times125 = 8\times5=40$.
Answer:
40