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.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
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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: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.
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
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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