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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?

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
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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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.
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