A school district has 40 schools located in different neighborhoods of City Y. A researcher for the school district believes that teacher job satisfaction varies greatly from school to school. Which of the following sampling methods is most appropriate to estimate the proportion of all teachers in the school district who are satisfied with their jobs? Choose 1 answer: (A) Surveying the 50 teachers who have taught for the school district the longest (B) Using the first 50 responses from an optional online survey for the teachers (C) Selecting one of the 40 schools at random and then surveying each teacher at the school D Selecting 5 teachers from each school at random and then surveying each teacher selected

Avoiding Bias: Option A suggests surveying the 50 teachers who have taught for the school district the longest. This could introduce bias because these teachers might have different perspectives compared to newer teachers.Online Survey: Option B suggests using the first 50 responses from an optional online survey. This method could also be biased because it might only capture the opinions of those who are more motivated to respond, which may not be representative of all teachers.Random School Selection: Option C suggests selecting one of the 40 schools at random and then surveying each teacher at the school. This method might not be representative of the entire district because it only considers one school.Random Teacher Selection: Option D suggests selecting 5 teachers from each school at random and then surveying each teacher selected. This method would likely provide a more representative sample of the entire district because it includes teachers from all schools and uses random selection.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

A school district has $40$ schools located in different neighborhoods of City Y. A researcher for the school district believes that teacher job satisfaction varies greatly from school to school. Which of the following sampling methods is most appropriate to estimate the proportion of all teachers in the school district who are satisfied with their jobs? $\newline$ Choose $1$ answer: $\newline$ (A) Surveying the $50$ teachers who have taught for the school district the longest $\newline$ (B) Using the first $50$ responses from an optional online survey for the teachers $\newline$ (C) Selecting one of the $40$ schools at random and then surveying each teacher at the school $\newline$ (D) Selecting $5$ teachers from each school at random and then surveying each teacher selected

View step-by-step help

Home

Math Problems

Precalculus

Interpret confidence intervals for population means

Full solution

Q. A school district has

40

schools located in different neighborhoods of City Y. A researcher for the school district believes that teacher job satisfaction varies greatly from school to school. Which of the following sampling methods is most appropriate to estimate the proportion of all teachers in the school district who are satisfied with their jobs?

\newline

Choose

1

answer:

\newline

(A) Surveying the

50

teachers who have taught for the school district the longest

\newline

(B) Using the first

50

responses from an optional online survey for the teachers

\newline

40

schools at random and then surveying each teacher at the school

\newline

(D) Selecting

5

teachers from each school at random and then surveying each teacher selected

Avoiding Bias: Option A suggests surveying the $50$ teachers who have taught for the school district the longest. This could introduce bias because these teachers might have different perspectives compared to newer teachers.
Online Survey: Option B suggests using the first $50$ responses from an optional online survey. This method could also be biased because it might only capture the opinions of those who are more motivated to respond, which may not be representative of all teachers.
Random School Selection: Option C suggests selecting one of the $40$ schools at random and then surveying each teacher at the school. This method might not be representative of the entire district because it only considers one school.
Random Teacher Selection: Option D suggests selecting $5$ teachers from each school at random and then surveying each teacher selected. This method would likely provide a more representative sample of the entire district because it includes teachers from all schools and uses random selection.