Which of the föllowing scenarios will correctly estimate the population proportion of students at your high school that drive to school?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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Which of the following scenarios will correctly estimate the population proportion
of students at your high school that drive to school?
You put all the homerooms in a hat. From the hat you choose five homerooms, In
each of those five homerooms you find the proportion of students that drive to
school. Then you average the five proportions. This average will represent the
popualtion proportion of students that drive to school,
You put all the names of the students into a random name generator and gather a
sample of 75 names. From those 75 names you find the proportion of students that
drive to school. You do this 25 more times and take the average of all 25 proportions.
This will estimate the popualtion proportion of students that drive to school.
You cannot correctly estimate the population proportion of students that drive to
school. You need to ask every student in the student in the school whether or not
they drive to school. This is the only way to get the true population proportion of
students that drive to school.
You take a simple random sample of 75 seniors and find the proportion of seniors
that drive to school. You use this proportion to estimate the population proportion of
students that drive to school.
Not quite, we can't use this to estimate the population proportion since the
random sample is only of seniors. It does not take into consideration all of the
other grades of students.
Transcribed Image Text:Which of the following scenarios will correctly estimate the population proportion of students at your high school that drive to school? You put all the homerooms in a hat. From the hat you choose five homerooms, In each of those five homerooms you find the proportion of students that drive to school. Then you average the five proportions. This average will represent the popualtion proportion of students that drive to school, You put all the names of the students into a random name generator and gather a sample of 75 names. From those 75 names you find the proportion of students that drive to school. You do this 25 more times and take the average of all 25 proportions. This will estimate the popualtion proportion of students that drive to school. You cannot correctly estimate the population proportion of students that drive to school. You need to ask every student in the student in the school whether or not they drive to school. This is the only way to get the true population proportion of students that drive to school. You take a simple random sample of 75 seniors and find the proportion of seniors that drive to school. You use this proportion to estimate the population proportion of students that drive to school. Not quite, we can't use this to estimate the population proportion since the random sample is only of seniors. It does not take into consideration all of the other grades of students.
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