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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 (D) 411

Cordelia surveyed a random sample of 5757 students at Sunnydale High about their favorite season. Of the students surveyed, 3131 chose summer as their favorite season. If there are 721721 students at Sunnydale High, what is the most reasonable estimate of the number of students whose favorite season is summer?\newlineChoose 11 answer:\newline(A) 224224\newline(B) 329329\newline(C) 392392\newline(D) 411411

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Q. Cordelia surveyed a random sample of 5757 students at Sunnydale High about their favorite season. Of the students surveyed, 3131 chose summer as their favorite season. If there are 721721 students at Sunnydale High, what is the most reasonable estimate of the number of students whose favorite season is summer?\newlineChoose 11 answer:\newline(A) 224224\newline(B) 329329\newline(C) 392392\newline(D) 411411
  1. Identify Given Information: Identify the given information and what we need to find.\newlineWe are given:\newline- Number of students surveyed = 5757\newline- Number of students who chose summer = 3131\newline- Total number of students at Sunnydale High = 721721\newlineWe need to find the most reasonable estimate of the number of students whose favorite season is summer.
  2. Calculate Proportion: Calculate the proportion of students who chose summer as their favorite season from the survey.\newlineProportion of students who chose summer =Number of students who chose summerNumber of students surveyed= \frac{\text{Number of students who chose summer}}{\text{Number of students surveyed}}\newline=3157= \frac{31}{57}
  3. Estimate Number of Students: Use the proportion to estimate the number of students at Sunnydale High whose favorite season is summer.\newlineEstimated number of students who prefer summer =3157×721= \frac{31}{57} \times 721
  4. Perform Calculation: Perform the calculation to find the estimate.\newlineEstimated number of students who prefer summer = (31/57)×721(31 / 57) \times 721\newline= 0.543859649×7210.543859649 \times 721\newline≈392.1052632\approx 392.1052632
  5. Round Estimate: Round the estimate to the nearest whole number, as we cannot have a fraction of a student.\newlineEstimated number of students who prefer summer ≈392\approx 392
  6. Choose Closest Answer: Choose the closest answer from the given options.\newlineThe closest answer to our estimate is (C)392(C) 392.

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