A large school district knows that 75% of students in previous years rode the bus to school. Administrators wondered if that figure was still accurate, so they took a random sample of n = 80 students and found that p = 65% of those sampled rode the bus to school. To see how likely a sample like this was to happen by random chance alone, the school district performed a simulation. They simulated 120 samples of n = 80 students from a large population where 75% of the students rode the bus to school. They recorded the proportion of students who rode the bus in each sample. Here are the sample proportions from their 120 samples:
A large school district knows that 75% of students in previous years rode the bus to school. Administrators wondered if that figure was still accurate, so they took a random sample of n = 80 students and found that p = 65% of those sampled rode the bus to school. To see how likely a sample like this was to happen by random chance alone, the school district performed a simulation. They simulated 120 samples of n = 80 students from a large population where 75% of the students rode the bus to school. They recorded the proportion of students who rode the bus in each sample. Here are the sample proportions from their 120 samples:
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A p-value = 0.07
В
p-value
2 0.058
p-value - 0.04
D
p-value = 0.03

Transcribed Image Text:A large school district knows that 75% of students in previous years rode the bus to school. Administrators
wondered if that figure was still accurate, so they took a random sample of n = 80 students and found
that p = 65% of those sampled rode the bus to school.
To see how likely a sample like this was to happen by random chance alone, the school district performed a
simulation. They simulated 120 samples of n =
80 students from a large population where 75% of the
students rode the bus to school. They recorded the proportion of students who rode the bus in each
sample. Here are the sample proportions from their 120 samples:
+++
0.60
0.65 0.70 0.75 0.80 0.85 0.90
Simulated sample proportions
They want to test Ho : p= 75% vs. Ha : p 75% where p is the true proportion of students in this
district that ride the bus to school.
Based on these simulated results, what is the approximate p-value of the test?
Note: The sample result was p = 65%.
00000
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