2. Reporting on cheats What proportion of students are willing to report cheating by other students? A student project put this question to an SRS of 172 undergraduates at a large university: "You witness two students cheating on a quiz. Do you go to the professor?" Only 11% answered "Yes." The dotplot shows the proportion who would go to the professor in each of 1000 random samples of size 172 from a population where 11% would go to the professor. 17 0.1 0.15 0.25 0.2 Simulated sample proportion who would say "Yes" 0.05 Distribution of simulated proportion # samples 1000 mean 0.11 SD 0.024 (a) Use the results of the simulation to approximate the margin of error for Gallup's estimate of the proportion of U.S. adults who were satisfied with the way things were going in the United States at the time of the poll. (b) Interpret the margin of error.

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2.
Reporting on cheats What proportion of students are willing to report
cheating by other students? A student project put this question to an SRS
of 172 undergraduates at a large university: "You witness two students
cheating on a quiz. Do you go to the professor?" Only 11% answered
"Yes." The dotplot shows the proportion who would go to the professor in
each of 1000 random samples of size 172 from a population where 11%
would go to the professor. 17
0.1
0.15
0.2
0.25
Simulated sample proportion who would say "Yes"
0
0.05
Distribution of simulated proportion
# samples
1000
mean
0.11
SD
0.024
(a) Use the results of the simulation to approximate the margin of error for
Gallup's estimate of the proportion of U.S. adults who were satisfied with
the way things were going in the United States at the time of the poll.
(b) Interpret the margin of error.
Transcribed Image Text:2. Reporting on cheats What proportion of students are willing to report cheating by other students? A student project put this question to an SRS of 172 undergraduates at a large university: "You witness two students cheating on a quiz. Do you go to the professor?" Only 11% answered "Yes." The dotplot shows the proportion who would go to the professor in each of 1000 random samples of size 172 from a population where 11% would go to the professor. 17 0.1 0.15 0.2 0.25 Simulated sample proportion who would say "Yes" 0 0.05 Distribution of simulated proportion # samples 1000 mean 0.11 SD 0.024 (a) Use the results of the simulation to approximate the margin of error for Gallup's estimate of the proportion of U.S. adults who were satisfied with the way things were going in the United States at the time of the poll. (b) Interpret the margin of error.
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