The senior class president of a large university claimed that 60% of the senior class was interested in going on the senior trip. To test this claim, the senior class president conducted a survey of a random sample of 40 seniors and 22 said that they wanted to go on the senior trip. To better understand the significance of the survey results, a simulation was devised based on the claim that 60% of the seniors wanted to go on the trip, each of sample size 40, simulated 300 times. Create a 95% confidence interval based on the data from the simulation, to the nearest hundredth, and state whether the observed proportion is within the margin of error of the simulation results.
The senior class president of a large university claimed that 60% of the senior class was interested in going on the senior trip. To test this claim, the senior class president conducted a survey of a random sample of 40 seniors and 22 said that they wanted to go on the senior trip. To better understand the significance of the survey results, a simulation was devised based on the claim that 60% of the seniors wanted to go on the trip, each of sample size 40, simulated 300 times. Create a 95% confidence interval based on the data from the simulation, to the nearest hundredth, and state whether the observed proportion is within the margin of error of the simulation results.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Transcribed Image Text:The senior class president of a large
university claimed that 60% of the senior
class was interested in going on the senior
trip. To test this claim, the senior class
president conducted a survey of a random
sample of 40 seniors and 22 said that they
wanted to go on the senior trip. To better
understand the significance of the survey
results, a simulation was devised based on
the claim that 60% of the seniors wanted
to go on the trip, each of sample size 40,
simulated 300 times. Create a 95%
confidence interval based on the data
from the simulation, to the nearest
hundredth, and state whether the
observed proportion is within the margin
of error of the simulation results.
Transcribed Image Text:Mean = 0.597
SD = 0.075
0.35 0.4 0.45 0.5 0.55 0.6
0.65 0.7
0.75 0.8 0.85
Proportion of Students Interested in the Trip
xxxxxxxxxxxxxxxx
(Note: don't use percents for the interval or sample
proportion.)
The confidence interval based on the
simulation is
so the
observed proportion in the sample
survey of
is
Submit Answer
of
the simulation's assumption that 60%
of the senior class wanted to go on the
trip.
attempt 1 out of 2
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