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Cordelia surveyed a random sample of students at Sunnydale High about their favorite season. Of the students surveyed, chose summer as their favorite season. If there are students at Sunnydale High, what is the most reasonable estimate of the number of students whose favorite season is summer?Choose answer:(A) (B) (C) (D)
Full solution
Q. Cordelia surveyed a random sample of students at Sunnydale High about their favorite season. Of the students surveyed, chose summer as their favorite season. If there are students at Sunnydale High, what is the most reasonable estimate of the number of students whose favorite season is summer?Choose answer:(A) (B) (C) (D)
- Identify Given Information: Identify the given information and what we need to find.Cordelia surveyed students, and of them chose summer as their favorite season. We need to estimate how many of the students at Sunnydale High would choose summer as their favorite season based on this sample.
- Calculate Proportion: Calculate the proportion of students in the sample who chose summer as their favorite season.Proportion of students who chose summer = \frac{\text{Number of students who chose summer}}{\text{Total number of students surveyed}}\(\newline= \frac{31}{57}\)
- Estimate Number of Students: Use the proportion to estimate the number of students in the entire school who would choose summer as their favorite season.Estimated number of students who choose summer
- Perform Calculation: Perform the calculation to find the estimate.Estimated number of students who choose summer = = (This is an estimate, so we round to the nearest whole number)
