1. Use the results of the simulation to approximate the margin of error for Javier's estimate of the proportion of students at his school that can roll their tongue. 2. Interpret the margin of error.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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1. Use the results of simulation to appropriate the margin of error for hackers estimate of the proportion of students at his school that can roll their tongue 1b . Interpret the margin of error
Many people can roll their tongues, but some can't. Javier is interested in determining the proportion of
students at his school that can roll their tongue. In a random sample of 100 students, Javier determines
that 70 can roll their tongue. The dotplot below shows the proportion of people who can roll their tongue in
each of 500 random samples of size 100 from a population where 70% can roll their tongue.
Distribution of Simulated Proportion
samples
SD
mean
500
0.701
0.048
0 55
07
Simulated sample proportion of Yes
0 65
o 75
08
0 85
1. Use the results of the simulation to approximate the margin of error for Javier's estimate of the proportion of students
at his school that can roll their tongue.
2. Interpret the margin of error.
Transcribed Image Text:Many people can roll their tongues, but some can't. Javier is interested in determining the proportion of students at his school that can roll their tongue. In a random sample of 100 students, Javier determines that 70 can roll their tongue. The dotplot below shows the proportion of people who can roll their tongue in each of 500 random samples of size 100 from a population where 70% can roll their tongue. Distribution of Simulated Proportion samples SD mean 500 0.701 0.048 0 55 07 Simulated sample proportion of Yes 0 65 o 75 08 0 85 1. Use the results of the simulation to approximate the margin of error for Javier's estimate of the proportion of students at his school that can roll their tongue. 2. Interpret the margin of error.
Expert Solution
Step 1

Here we have to calculate margin of error

Assuming the confidence Interval = 95%

Sample Size  = 500

Mean Value  = 0.701

Standard deviation = 0.048

 

 

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