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. Solve Critical value:

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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.

Solve Critical value:

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