He then filled 80 simple white cups with soda, half diet and half regular, and asked each person to take one taste from their cup and identify the soda as diet or regular based on a random assignment. The drink was accurately identified by 53 of the participants. (a) Do these data show that these folks are any better or worse at telling the difference between diet and regular soda than random guessing? (b) Explain the significance of the p-value in this context.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Please give correct Answers and Answer both parts. A B 6.13 Taste test. Some people report that just one sip, they can detect the difference between a diet and a regular Coke. A researcher wanted to test this claim, so he chose 80 persons at random. He then filled 80 simple white cups with soda, half diet and half regular, and asked each person to take one taste from their cup and identify the soda as diet or regular based on a random assignment. The drink was accurately identified by 53 of the participants. (a) Do these data show that these folks are any better or worse at telling the difference between diet and regular soda than random guessing? (b) Explain the significance of the p-value in this context.
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