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Francis surveyed a random sample of 70 students at Franklin High School about their favorite season. Of the students surveyed, 18 chose fall as their favorite season. There are 1816 students at Franklin High School. Based on the data, what is the most reasonable estimate for the number of students at Franklin High School whose favorite season is fall? Choose 1 answer: (A) 257 (B) 467 (c) 515 (D) 1349

Francis surveyed a random sample of 7070 students at Franklin High School about their favorite season. Of the students surveyed, 1818 chose fall as their favorite season. There are 18161816 students at Franklin High School.\newlineBased on the data, what is the most reasonable estimate for the number of students at Franklin High School whose favorite season is fall?\newlineChoose 11 answer:\newline(A) 257257\newline(B) 467467\newline(C) 515515\newline(D) 1349 \mathbf{1 3 4 9}

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Q. Francis surveyed a random sample of 7070 students at Franklin High School about their favorite season. Of the students surveyed, 1818 chose fall as their favorite season. There are 18161816 students at Franklin High School.\newlineBased on the data, what is the most reasonable estimate for the number of students at Franklin High School whose favorite season is fall?\newlineChoose 11 answer:\newline(A) 257257\newline(B) 467467\newline(C) 515515\newline(D) 1349 \mathbf{1 3 4 9}
  1. Calculate Proportion: Calculate the proportion of students who chose fall as their favorite season from the survey.\newlineProportion = Number who chose fall / Total surveyed\newlineProportion = 1870\frac{18}{70}\newlineProportion = 0.25710.2571
  2. Estimate Number: Use the proportion to estimate the number of students in the entire school who prefer fall.\newlineEstimated number = Proportion ×\times Total number of students at school\newlineEstimated number = 0.2571×18160.2571 \times 1816\newlineEstimated number = 466.6456466.6456
  3. Round to Nearest Whole: Since we can't have a fraction of a student, round to the nearest whole number.\newlineEstimated number ≈467\approx 467

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