In a famous study done in the 1960s two dolphins, Doris and Buzz, were trained to work together to earn fish. Doris was shown a light underwater. If the light was on steadily, her partner Buzz on the other side of the tank needed to press a button on the right for them to earn fish. If the light was blinking, he needed to press a button on the left. At one point in the study, the researcher hung a canvas in the middle of the tank in such a way that Buzz could not see the light. After looking at the light, Doris "swam near the curtain and began to whistle loudly. Shortly after that Buzz whistled back and then pressed the correct button". (Tintle, Rossman and Chance, MAA Prep Workshop) Of course, getting it right once was not enough to convince the scientists that there was really communication going on. It turned out, that in 15 out of 16 trials the dolphin pushed the correct button. Of course, it is possible that this happened just out of random chance - that the second dolphin just happened to hit a lucky streak. We want to try to determine just how unlikely that would be.
In a famous study done in the 1960s two dolphins, Doris and Buzz, were trained to work together to earn fish. Doris was shown a light underwater. If the light was on steadily, her partner Buzz on the other side of the tank needed to press a button on the right for them to earn fish. If the light was blinking, he needed to press a button on the left. At one point in the study, the researcher hung a canvas in the middle of the tank in such a way that Buzz could not see the light. After looking at the light, Doris "swam near the curtain and began to whistle loudly. Shortly after that Buzz whistled back and then pressed the correct button". (Tintle, Rossman and Chance, MAA Prep Workshop) Of course, getting it right once was not enough to convince the scientists that there was really communication going on. It turned out, that in 15 out of 16 trials the dolphin pushed the correct button. Of course, it is possible that this happened just out of random chance - that the second dolphin just happened to hit a lucky streak. We want to try to determine just how unlikely that would be.
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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3. Assuming there is a 50-50 chance of pressing the correct button, calculate the test statistic for this scenario.
4, This would be a right

Transcribed Image Text:In a famous study done in the 1960s two dolphins, Doris and Buzz,
were trained to work together to earn fish. Doris was shown a light
underwater. If the light was on steadily, her partner Buzz on the
other side of the tank needed to press a button on the right for
them to earn fish. If the light was blinking, he needed to press a
button on the left.
At one point in the study, the researcher hung a canvas in the
middle of the tank in such a way that Buzz could not see the light.
After looking at the light, Doris "swam near the curtain and began
to whistle loudly. Shortly after that Buzz whistled back and then
pressed the correct button". (Tintle, Rossman and Chance, MAA
Prep Workshop)
Of course, getting it right once was not enough to convince the
scientists that there was really communication going on. It turned
out, that in 15 out of 16 trials the dolphin pushed the correct
button.
Of course, it is possible that this happened just out of random
chance - that the second dolphin just happened to hit a lucky
streak. We want to try to determine just how unlikely that would
be.
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