Question

cordelia surveyed a random sample of 57 students at sunnydale high about their favorite season. of the students surveyed, 31 chose summer as their favorite season. if there are 721 students at sunnydale high, what is the most reasonable estimate of the number of students whose favorite season is summer? choose 1 answer: a 224 b 329 c 392

Explanation:

Step1: Calculate the proportion in the sample

The proportion of students who chose summer in the sample is $\frac{31}{57}$.

Step2: Estimate the number in the whole population

Multiply this proportion by the total number of students in the school: $\frac{31}{57}\times721$.

$$
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$$

$$ \frac{31\times151}{57}=\frac{4681}{57}\approx81 $$

So $310 + 81=391\approx392$

Answer:

C. 392