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
icon
Related questions
Topic Video
Question
Choose 1 answer:
A p-value = 0.07
В
p-value
2 0.058
p-value - 0.04
D
p-value = 0.03
Transcribed Image Text:Choose 1 answer: A p-value = 0.07 В p-value 2 0.058 p-value - 0.04 D p-value = 0.03
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
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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Proportions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman