Do pets and their owners look alike? In an experiment, a statistics student provided subjects with a picture of a dog, and two pictures of people. One was the owner of the dog, and the other was someone else. Sixteen of the 25 subjects were able to correctly identify the owner of the dog. To determine whether this was statistically significant, the student performed a simulation of 25 coin flips where heads indicated that the participant selected the owner correctly by chance, and tails indicated that the participant had not. The student performed 200 such simulations, and the results are shown in the dotplot. Simulated Proportions : 0.30 0.40 0.50 Sample proportion of correct identifications 0.60 0.70 Does the simulation provide evidence, at the 10% level, that the proportion of subjects, like the ones in this study, who can identify the owner of the pet is higher than 0.5?

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
Question
Do pets and their owners look alike? In an experiment, a statistics student provided subjects with a picture of a
dog, and two pictures of people. One was the owner of the dog, and the other was someone else. Sixteen of the
25 subjects were able to correctly identify the owner of the dog. To determine whether this was statistically
significant, the student performed a simulation of 25 coin flips where heads indicated that the participant selected
the owner correctly by chance, and tails indicated that the participant had not. The student performed 200 such
simulations, and the results are shown in the dotplot.
Simulated Proportions
●●●●●●●●●
0.30
0.40
0.50
Sample proportion of correct identifications
0.60
0.70
Does the simulation provide evidence, at the 10% level, that the proportion of subjects, like the ones in this study,
who can identify the owner of the pet is higher than 0.5?
Yes, 64% of the subjects identified the owner correctly, and 0.64 > 0.5.
No, 200 simulations are not enough to determine whether a result is significant.
No, 100 of the 200 simulations resulted in a sample proportion of 0.5 or higher.
No, 21 of the 200 simulations resulted in a sample proportion of 0.64 or higher.
Yes, only 21 of the 200 simulations resulted in a sample proportion of 0.64 or higher.
Transcribed Image Text:Do pets and their owners look alike? In an experiment, a statistics student provided subjects with a picture of a dog, and two pictures of people. One was the owner of the dog, and the other was someone else. Sixteen of the 25 subjects were able to correctly identify the owner of the dog. To determine whether this was statistically significant, the student performed a simulation of 25 coin flips where heads indicated that the participant selected the owner correctly by chance, and tails indicated that the participant had not. The student performed 200 such simulations, and the results are shown in the dotplot. Simulated Proportions ●●●●●●●●● 0.30 0.40 0.50 Sample proportion of correct identifications 0.60 0.70 Does the simulation provide evidence, at the 10% level, that the proportion of subjects, like the ones in this study, who can identify the owner of the pet is higher than 0.5? Yes, 64% of the subjects identified the owner correctly, and 0.64 > 0.5. No, 200 simulations are not enough to determine whether a result is significant. No, 100 of the 200 simulations resulted in a sample proportion of 0.5 or higher. No, 21 of the 200 simulations resulted in a sample proportion of 0.64 or higher. Yes, only 21 of the 200 simulations resulted in a sample proportion of 0.64 or higher.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
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