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

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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
0 235
16
25
O
O
What is the best estimate for the P-value if a significance test is performed using the hypotheses Ho: p = 0.5 and
Ha: p > 0.5, where p is the true proportion of subjects like these who can correctly identify the dog's owner?
21
200
100
200
:
179
200
0.60
0.30
0.40
0.50
Sample proportion of correct identifications
0.70
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 0 235 16 25 O O What is the best estimate for the P-value if a significance test is performed using the hypotheses Ho: p = 0.5 and Ha: p > 0.5, where p is the true proportion of subjects like these who can correctly identify the dog's owner? 21 200 100 200 : 179 200 0.60 0.30 0.40 0.50 Sample proportion of correct identifications 0.70
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