A subject is presented with three cups, two of which contain the same brand of cola and one of which contains a different brand. The subject is to identify which one of the three cups contains a different brand of cola than the other two. We wish to determine if the subject will perform better than randomly guessing over 75 trials. (Use 4 decimal places for all calculations)
a) H_0 is pi =
H_a is pi >
b) n*pi = and n*(1-pi) = . Is the CLT valid? (yes/no)
Suppose the subject guessed correctly 31 times.
c) Calculate the test statistic = (this answer only 2 decimal places)
d) Calculate the p-value =
e) If alpha = .05, would you reject o fail to reject the null?
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