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5. Using a significance level of 0.05, test the claim that the dolphins were communicating with each other that led them to choose the correct button more than 50% of the time. Use the p- value from the previous question to "reject" or "fail to reject" the null hypothesis and state your conclusion.

5. Using a significance level of 0.05, test the claim that the dolphins were communicating with each other that led them to choose the correct button more than 50% of the time. Use the p- value from the previous question to "reject" or "fail to reject" the null hypothesis and state your conclusion.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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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. 6. Using a significance level of 0.05, test the claim that the dolphins were communicating with each other that led them to choose the correct button more than 50% of the time. Use the p- value from the previous question to "reject" or "fail to reject" the null hypothesis and state your conclusion. Help with this question:
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. 6. Using a significance level of 0.05, test the claim that the dolphins were communicating with each other that led them to choose the correct button more than 50% of the time. Use the p- value from the previous question to "reject" or "fail to reject" the null hypothesis and state your conclusion. Help with this question:
The P-value is more than 0.05 so we support the claim that the dolphins are communicating. The P-value is less than 0.05 so we fail to reject the null and accept that the dolphins are communicating. The P-value is less than 0.05 so we support the claim that the dolphins are communicating. The P-value is less than 0.05 so reject the null and believe the dolphins are communicating.
Transcribed Image Text:The P-value is more than 0.05 so we support the claim that the dolphins are communicating. The P-value is less than 0.05 so we fail to reject the null and accept that the dolphins are communicating. The P-value is less than 0.05 so we support the claim that the dolphins are communicating. The P-value is less than 0.05 so reject the null and believe the dolphins are communicating.
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