Some people claim that they can tell the difference between a diet soda and a regular soda in the first sip. A researcher wanting to test this claim randomly sampled 84 such people. She filled 84 plain white cups with soda, half diet and half regular through random assignment, and asked each person to take one sip from their cup and identify the soda as diet or regular. 51 participants correctly identified the soda. Conduct and interpret a hypothesis test for the following question: are these people any better or worse at telling the difference between diet and regular soda than random guessing (correctly identify soda half of the time)? HINT: what is your hypothesized proportion if you want to test if these participants are right or not half of the time? Use a = .01 significance level.
Some people claim that they can tell the difference between a diet soda and a regular
soda in the first sip. A researcher wanting to test this claim randomly sampled 84 such
people. She filled 84 plain white cups with soda, half diet and half regular through
random assignment, and asked each person to take one sip from their cup and identify
the soda as diet or regular. 51 participants correctly identified the soda.
Conduct and interpret a hypothesis test for the following question: are these people any
better or worse at telling the difference between diet and regular soda than random
guessing (correctly identify soda half of the time)?
HINT: what is your hypothesized proportion if you want to test if these participants are
right or not half of the time?
Use a = .01 significance level.
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